how fast do i have to go from b to c in order to average for the whole trip? write an equation expressing v2 (the speed i need to average going from b to c) in terms of the other symbols given: v1, δl1, δl2, and δt.

Answers

Answer 1

The average speed of the trip from B to C should be

V2=(ΔL2V1)/(ΔtV1 - ΔL1)

The journey from B to C should be made at an average speed of

 <V> = ΔL/Δt

The entire voyage must take at least

Δt=Δt1+Δt2

Δt - Δt1=Δt2.....eqn.(i).

V1 =ΔL1/Δt1..... eqn.(ii) and V2=ΔL2/Δt2

substituting (Δt - Δt1=Δt2 ) from eqn(i) in the above eqn

V2=ΔL2/(Δt - Δt1)

and substituting the value of Δt1 from eqn(i) in the above equation

V2=ΔL2/(Δt - (ΔL1/V1))

now by rearranging the terms we get

V2=ΔL2V1/(ΔtV1 - ΔL1)

What do mean by average speed?

The object's average speed is the total distance it travels in a predetermined amount of time. A scalar value is used to represent the normal speed. It is characterized by the magnitude and lacks direction.

Since speed is a scalar quantity, it lacks direction. It indicates the rate of a moving thing. When a particle's speed is high, it indicates that it is travelling quickly, and when it is low, it indicates that it is going slowly.

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Related Questions

a) find the velocity, in feet per second, at time : (b) find the velocity (in ft/sec) of the particle at time . (c) find all values of for which the particle is at rest. (if there are no such values, enter none . if there are more than one value, list them separated by commas.)

Answers

The velocity of a particle at time t is 4t³- 7, at time t = 3 is 101 ft/sec, and at rest is ∛7/4 sec.

The position of a particle at time t is

s(t) = t⁴ - 7t + 22, where t > 0

(A)  Velocity at time t is

V(t) = s'(t)

Or, V(t) = 4t³ - 7 × 1 + 0

Or, V(t) = 4t³- 7

Hence, the velocity at time t is 4t³- 7.

B) Velocity ar time t = 3 is

V(3) = 4(3)³- 7

Or, V(3) = 101 ft/sec

Hence, the velocity at time t = 3 is 101 ft/sec.

(C) When particle is at rest, V(t) = 0

Then, 4t³ - 7 = 0

Or, t³ = 7/4

Or, t = ∛7/4 sec

Therefore, the velocity at rest is ∛7/4 sec.

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She varies the level of noise in the environment and records the blood pressure of each participant. In this experiment, the level of noise is the

Answers

It appears that subjective qualitative measurements are insufficient indicators to determine how noise affects cognitive function.

It is highly advised to use novel indicators, such as brain signal analysis and power spectral density analysis, while evaluating cognitive function while exposed to noise. It is recommended that more research be done on the impacts of additional psychoacoustic factors, such as tone and noise pitch (treble or bass) at high exposure levels. "Attention" refers to the active cognitive selecting process. Daily tasks include physical motions, emotional reactions, and perceptual and cognitive processes all heavily depend on attention. When processing of quantitative information is constrained, the attention system regulates behavior of people based on spatial and temporal aspects.

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A ball is thrown with an initial speed of 20 m/s at an angle of 60° to the ground. If air resistance is negligible, what is the ball’s speed at the instant it reaches its maximum height from the ground?.

Answers

The speed of the ball when it reaches its maximum height from the ground is 5.02 m/s.

The initial speed of the ball = 20 m/s

Angle to the at which the ball is thrown = 60°

Gravity = 9.81 m/s²

Resistance of the air = 0.

The maximum height reached by the ball above the ground is,

[tex]H = \frac{u ^{2 }sin ^{2}θ} {2g}[/tex]

[tex]H = \frac{20 ^{2 }sin ^{2}60°} {2 \times 9.81}[/tex]

[tex]H = \frac{ 20 \times 20 \times \sqrt{3} }{2 \times 9.81 \times 2}[/tex]

[tex] = 17.6 \: m[/tex]

Thus, the maximum height reached by the ball above the ground is 17.6 m.

The flight time of the ball is,

[tex]t = \frac{2usinθ}{g} [/tex]

[tex]t = \frac{2 \times 20 \times sin60°}{9.81} [/tex]

[tex]t = \frac{2 \times 20 \times \sqrt{3} }{9.81 \times 2} [/tex]

[tex]t = 3.5 \: s[/tex]

Thus, the flight time of the ball is 3.5 s.

The speed of the ball when it reaches it reaches the maximum height from the ground is,

[tex]Speed = \frac{ Distance }{Time}[/tex]

[tex]Speed = \frac{17.6}{3.5} [/tex]

[tex]Speed = 5.02 \: m/s[/tex]

Therefore, the speed of the ball when it reaches its maximum height from the ground is 5.02 m/s.

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In the metaphor of the bottle for theory of constraints, which part of the bottle represents the constraint?

Answers

In the metaphor of the bottle for theory of constraints, the part of the bottle represents the constraint is neck.

What is metaphor?

A metaphor is a figure of the speech that describes an object or action in a way that isn’t literally true, but helps explain an idea or make a comparison.

Here are the basics:

A metaphor states that one thing is the another thing. It equates those two things not because they actually are the same, but for the sake of comparison or symbolism and if you take a metaphor literally, it will probably sound very strange (are there actually any sheep, black or otherwise, in your family?). Metaphors are used in the poetry, literature, and anytime someone wants to add some color to their language

The uses of metaphor, and the official definition:

A word or phrase for one thing that is used to refer to the another thing in order to show or suggest that they are similar

An object, activity, or idea that is used as a symbol of the something else

Metaphors are a form of the figurative language, which refers to words or expressions that mean something different from their literal definition. In the case of metaphors, literal interpretation would often be pretty silly.

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In the metaphor of the bottle for theory of constraints, the part of the bottle represents the constraint is neck.

What is metaphor?

A metaphor is a figure of the speech that describes an object or action in a way that isn’t literally true, but helps explain an idea or make a comparison.

Here are the basics:

A metaphor states that one thing is the another thing. It equates those two things not because they actually are the same, but for the sake of comparison or symbolism and if you take a metaphor literally, it will probably sound very strange (are there actually any sheep, black or otherwise, in your family?). Metaphors are used in the poetry, literature, and anytime someone wants to add some color to their language

The uses of metaphor, and the official definition:

A word or phrase for one thing that is used to refer to the another thing in order to show or suggest that they are similar.

An object, activity, or idea that is used as a symbol of the something else

Metaphors are a form of the figurative language, which refers to words or expressions that mean something different from their literal definition. In the case of metaphors, literal interpretation would often be pretty silly.

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Angela runs 30 minutes every day, but her 5k race time is staying the same, and she is not having fun anymore. What should she do to improve?

Answers

She should add diversity to her exercise program to keep her from getting bored or lazy.

Because if you are not having fun with it anymore then you stop doing it.Your weekly exercise running mileage should drop the week before the event. Your training now mostly focuses on "saving up" rest so that your legs are prepared for the marathon.

To keep your legs fresh throughout the week, fit in two to three quick runs with a few quick pick-ups—short, snappy portions that get your legs working faster and get you ready for the faster tempo of the race. Take a day off to completely rest two days before the marathon. Do a quick exercise(20-minute) run with up to five 45-second pick-ups the day before the race to tone your legs.

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An ideal heat engine absorbs 94.5 kj of heat and exhausts 78.8 kj of heat in each cycle. what is the efficiency of the engine?

Answers

The efficiency of the engine is 17%

The answers to this exercise do not depend on the engine being of the Carnot design. Any heat engine that intakes energy as heat (from, say, consuming fuel) equal to

[tex]|Q_{H} |=[/tex]=94.5kJ and exhausts (or discards) energy as

heat equal to [tex]|Q_{L} |=[/tex]78.8KJ

will have these values of efficiency ε and network W

(a) Equation 20-12 gives ε=1- [tex]|\frac{Q_{L} }{Q_{H} }|[/tex] =1-0.8338624339 =0.17 =17%

What exactly does a Carnot engine do?

Leonard Carnot proposed the Carnot engine, a theoretical thermodynamic cycle. It calculates the maximum possible efficiency of a heat engine during the process of converting heat into work and, conversely, working between two reservoirs.

Carnot cycle definition

An ideal reversible closed thermodynamic cycle in which the working substance undergoes four successive operations: isothermal expansion to a desired point, adiabatic expansion to a desired point, isothermal compression, and adiabatic compression back to its initial state.If we define the Carnot factor more broadly as the ratio of an active volume to total volume, the condition = 1/2 means that half of the volume is "active."

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you walk 6 meters to the east. then turn around and walk 4 meters west. find the distance travelled and find the displacement​

Answers

Answer:

ffghccvvghcgjvccvb

Explanation:

gmvfjbcgijcfub cjjcv

jhggjvchivvvhj

A constriction in a pipe reduces its diameter from 4.0 cm to 2.0 cm. where the pipe is narrow the water speed is 8.0 m/s. where it is wide the water speed is:_______
a. 2.0 m/s
b. 4.0 m/s
c. 8.0 m/s
d. 16 m/s
e. 32 m/s

Answers

Option a) 2.0m/s

So, where it is wide, speed is 2 m/s

Calculation

According to equation of continuity

A1V1 =A2V2

A1= [tex]\pi[/tex][tex](2*10^{-2}) ^{2}[/tex]

A2 = [tex]\pi (1*10^{-2}) ^{2}[/tex]

V2 = 8m/s

solving by the equation, we have

v1 = 2 m/s

Equation of continuity

An equation that describes the movement of a certain amount is known as a continuity equation or transport equation. It can be generalized to apply to any substantial quantity, but it is especially straightforward and effective when applied to conserved quantities.

Since mass, energy, momentum, electric charge, and other natural quantities all remain constant under the proper circumstances, continuity equations can be used to explain a wide range of physical events.

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for the same percentage error in each of the three quantities, mass, diameter, and length, which would contribute the most to the error in the density

Answers

For the same percentage error in each of the three quantities, mass, diameter, and length, mass would contribute the most to the error in the density.

A substance's density is defined as its mass per unit of volume. Density is most frequently represented by the symbol, however Latin letter D may also be used. The formula for density is mass divided by volume:

ρ = m / v

The error's absolute value is multiplied by 100%, divided by the accepted value, and then converted to a percent.

Since, the mass is directly related to density so the mass would contribute more to the error in density out of the three quantities, mass, diameter, and length.

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What happens to the time to complete a movement if angular velocity is increased?

Answers

The time to complete a movement if angular velocity is increased is Angular speed

Angular speed is the price of speed at which an object or a particle is rotating round a middle or a specific factor in a given time period. it's also referred to as rotational pace. Angular pace is measured in attitude in keeping with unit time or radians per second (rad/s). The fee of alternate of angular speed is angular acceleration. let us analyze in extra element approximately the relation among angular speed and linear pace, angular displacement and angular acceleration.Angular pace plays an eminent position within the rotational movement of an item. We already understand that in an item showing rotational movement all the particles circulate in a circle. The linear pace of each collaborating particle is without delay associated with the angular velocity of the entire item.those  become as vector products relative to each other. basically, the angular velocity is a vector amount and is the rotational speed of an object. The angular displacement of in a given period of time gives the angular velocity of that item.

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what is the geometric relationship between the force f and the cross-section area a under consideration?

Answers

The cross-sectional area A under consideration is parallel to the force F.

What do you mean by force?

An influence that can alter an object's motion is referred to as a force in physics. An object with mass can change its velocity, or accelerate, in response to a force by moving away from rest, for example. Intuitively, pushing or pulling can be used to describe forces. As a vector quantity, a force is one that has both magnitude and direction. It is expressed as a newton in the SI system (N). F is a symbol that stands for force (formerly P). The net force exerted on an object is equal to the rate at which its momentum varies over time, according to Newton's second law in its original version.

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Share an example of a phenotype you or someone you know has (ex: blue eyes). Which side of the family did that phenotype likely originate

Answers

In general, a phenotype is an inherited trait that we can observe.

Phenotypes include things like blood type, eye colour, and hair colour. If you have brown eyes, your eyes will be brown; if you have brown hair, your hair will be brown; or if you have an A blood type phenotypic, your blood type will be A.

Only the blue allele can be passed down from the homozygous blue-eyed parent. Either the blue allele or the brown allele can be inherited from the heterozygous brown-eyed parent. Children with a blue-brown genotype, or those with both the blue and brown alleles, will have brown eyes and a brown-eyed phenotype. Similar to this, children with a blue-blue genotype—two blue alleles—will have blue eyes and a blue-eye phenotype

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a baseball player is dashing toward home plate with a speed of 4.7 m/s when she decides to hit the dirt. she slides for 1.5 s , just reaching the plate as she stops (safe, of course).

Answers

She decides to hit the dirt in -2.64 m/s in First equation and  2.59m in second equation.

Using 1st equation of motion,

V = u + at

-3.7 = 0 + a x 1.4

Acceleration,

a = - 2.64 m/s^2

Using 2nd equation of motion,

D = ut + 0.5 at^2

D = (3.7 x 1.4) - (0.5 x 2.64 x 1.4^2)

= 2.59 m

How is speed measured in baseball?

Sprint Speed, a Stat cast metric that was first used in the 2017 season, counts the number of feet per second a player covers in his quickest one-second span.

Currently, "qualifying runs" from these two groups are included in the metric:

• Runs from second base following an extra-base hit but eliminating runs of two bases or more on non-homers.

• Runs scored from first base to home on "tipped" or "weakly hit" balls.

A player's seasonal average is calculated using the best third of these runs on average.

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A soccer ball was kicked toward the goal. The horizontal component of velocity was 22 m/s and the vertical component was 12 m/s. What is the magnitude of the resultant velocity of the soccer ball?.

Answers

The magnitude of the resultant velocity of the soccer ball is: 25.059 m/s

The formula for projectile motion that we will use to solve this exercise is:

vf= √[v(x)² + v(y)²]

Where:

vf=  final velocityv(x)=  horizontal component of velocityv(y)= vertical component of velocity

Information about the problem:

v(x)= 22 m/sv(y)= 12 m/svf=?

Applying the final velocity formula we have:

vf= √[v(x)² + v(y)²]

vf= √[(22 m/s)² + (12 m/s)²]

vf= √[484 m²/s² + 144 m²/s²]

vf= √[628 m²/s²]

vf= 25.059 m/s

What is projectile motion?

The projectile motion is the motion whose trajectory describes a parabola having a horizontal and a vertical component of motion.

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If no heat is transferred during the following compression of a gas, what is the sign of w, and does internal energy of the enclosed gas increase, decrease, or remain constant?.

Answers

Answer: increase

Explanation:

increase of  compression make it hot

a house that is losing heat at a rate of 35,000 kj/h when the outside temperature drops to 4°c is to be heated by electric resistance heaters. if the house is to be maintained at 25°c at all times, determine the re

Answers

Q(l) = 35,000 kj/h

T° = 4° c = 277k

T(H) = 298 k

given that house is to be maintained at 25° c at all times

hence internal energy is zero. du=0

now, using first law of thermodyanamics

dq= du+dw

dq= dw ( because du = 0)

hence, heat lost by house is equal to the work input for system

Q(l)= w (input)

w (input) =35,000 kj/hr

now, coefficient of performance for reversible heat pump = cop ( rev,hp)

cop ( rev,hp) = = 14.9

cop ( rev,hp) = Q(l)/w (input)

14.9 = 35,000/ (win)rev

(win)rev = 2349 kj/h ( reversible work input)

Irreversibility of process = I

I = (win) - (win)rev

I = 35000- 2349

I = 32651 KJ/hr

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Find a unit vector with a negative i component that is orthogonal to both i + j and i + k.

Answers

The correct answer is ±(- 1/√3, 1/√3, 1/√3)

a=i+j=<1,1,0)

b=i+j=<1,0,1>

c=+<(cos α, cos , cos γ)> are the unit vectors orthogonal to a and b (moving in the opposite direction).

Scalar product c.a=cos α+cos β=0

Similarly c.b=cos α+cosγ =0

c=±<-cos α, cos α, cos α>

The directions in each octant (the 2nd OX'YZ and 8th OXY'Z') are equally inclined to the axis.

cos α=± 1/√3

Thus the answer is ±(- 1/√3, 1/√3, 1/√3)

What is unit vector?

Both magnitude and direction are present in vector units. Sometimes, though, one is simply concerned with the direction and not the magnitude. In this situation, vectors are frequently regarded as having unit length. A scalar coefficient provides the magnitude, and these unit vectors are typically employed to express direction. Unit vector and scalar coefficients can be used to sum a vector decomposition.

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Question 12 an earth satellite has a speed of 7.5 km/s and a flight path angle of 10 degrees when its radius is 8000 km. what is the angular momentum (in km 2/s)?

Answers

-21.7 km²/s is the angular momentum (in km 2/s) of the earth's satellite.

What is a satellite?

An object that has been sent into orbit in space on purpose is known as a satellite or artificial satellite.Most spacecraft, with the exception of passive satellites, contain a means of generating power for the technology they carry, such as solar panels or radioisotope thermoelectric generators (RTGs).The majority of satellites also feature transponders, which are a type of ground station communication system.The most common satellites, tiny CubeSats, employ a standardized bus to reduce costs and labor. Satellites are made to be as light and durable as feasible due to the high expense of space launch.

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Two objects undergo simple harmonic motion on a
smooth table. Object B has twice the frequency and
twice the amplitude of object A. How does the
angular speed, maximum speed, and maximum
acceleration of object B compare to that of object
A? Object B has:

a. one-half the angular speed, one-fourth the
maximum speed, and one-sixth the maximum
acceleration of object A.
b. twice the angular speed, quadruple the
maximum speed, and six times the maximum
acceleration of object A.
c. twice the angular speed, twice the maximum
speed, and eight times the maximum
acceleration of object A.
d. twice the angular speed, quadruple the
maximum speed, and eight times the maximum
acceleration of object A.

Answers

The acceleration is maximum when the displacement of the object is maximum.

We understand that speed is most when y=zero, displacement is zero, and acceleration is zero, this means that the machine is in equilibrium. therefore, at a factor in simple harmonic motion, the maximum pace can be calculated by the usage of the formulation v=Aω. the rate may be most in easy harmonic movement, while the acceleration is zero.

The pendulum oscillating backward and forward from the suggested role is an example of easy harmonic movement. Bungee leaping is an example of simple harmonic motion. The jumper oscillates up and down in the present process SHM because of the pliancy of the bungee wire.

The maximum displacement of the bob from its implied role. OA or OB is called its amplitude. because the bob is at its lowest position on point O. Its potential power is minimal whilst its kinetic power is maximum.

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a golf ball of mass 0.05 kg travels down the fairway with a velocity of 60m/s what is teh kinetic energy

Answers

The kinetic energy will decrease by 4J.

The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes.

first-order kinetic energy KE i\s =0.5×m×v

Final Kinetic Energy = 0.5 mV (K.E. 1/2 0.5(3355) =

2/2 KE difference = KE f-KE i

KE difference

Difference in KE = 1/4(925)

Difference in KE = -16/4 = 4J.

Consequently, kinetic energy will decrease by 4J.

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procedure C, describe how you thought the time to drop the pen from 1.0 meters high would
compare to dropping from 50.0 meters? Do you think it would take 50 times longer to drop from
50 meters? Explain.

Answers

1.428 s is the calculated time.

distances relative to the earthly acceleration do not take any initial distance or initial speed if you set the origin of your referential on the origin of your movement and assume that your ball has no initial speed as it is. The most amazing and unexpected truth about falling things is that, in a given location, all items fall toward the center of the Earth with the same constant acceleration, regardless of their mass, if air resistance and friction are low.

So here is the most straightforward formula for this:

+(1/2) *(9.81 m/s^ (2)) *t^ (2) = +10 m.

The result is that t = √ (20 m/ (9.81 m/s (2)))

=√ (2.039 s2)

distances relative to the earthly acceleration do not take any initial distance or initial speed if you set the origin of your referential on the origin of your movement and assume that your ball has no initial speed as it is. The most amazing and unexpected truth about falling things is that, in a given location, all items fall toward the center of the Earth with the same constant acceleration, regardless of their mass, if air resistance and friction are low.

vertical (and only) axis of a drawing must be pointed downward.

So here is the most straightforward formula for this:

+(1/2)*(9.81 m/s^(2))*t^(2) = +10 m.

The result is that t = √ (20 m/(9.81 m/s(2)))

= √(2.039 s2)

=1.428 s.

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how many millicoulombs (mc) of charge is stored in a 152 µf capacitor when 150 v is applied to it? 1μf

Answers

About 22.8 millicoulombs of charge has been stored in a capacitor of capacitance 152 µf when a total voltage of 150 v is applied to this capacitor.

What does capacitance mean?

The capacity of a component or circuit to gather and hold energy in the form of an electrical charge is known as capacitance. Devices that store energy include capacitors, which come in a variety of sizes and forms.

What sort of capacitance is that?

When any capacitor is being linked to a battery with a specific voltage, its capacitance can be totally calculated by measuring the charge held on each plate.

What distinguishes a capacitor from a capacitance?

The capacity of this capacitor that is calculated in order to store energy in the form of electric charge is known as the capacitance.

Here we know that we have,

C= 152 uf

V=150v

Q =?

Q= CV

= 152 x10^6 x 150

= 22800 x 10^6

= 22.8 x 10^6

= 22.8 millicoulomb

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A lithium atom combines with a helium atom to make a new larger atom this is an example of

Answers

Answer

Fission.

Explanation:

Fission occurs when a neutron slams into a larger atom, forcing it to excite and split into two smaller atoms, also known as fission products.

Hope this helps u ; )

What’s an example of potential energy? PLEASE HELP ILL CROWN YOU
A
Water behind a dam

B
A dart stuck in a dartboard

C
Plants using photosynthesis

D
A cow chewing grass

Answers

Answer: Its A its the best possible answer

Explanation:

its the best possible answer

Answer:

A. water behind a dam

Explanation:

today we were learning energy then our teacher told as so am sure am ryt

A boy heard the thunder 18.74998 seconds after the lightening of a storm which is at a distance 6km , so the speed of sound in air equals .....( Where the speed of light in air = 3000000)


I already checked the answer in the answer book it's velocity= 320 m/s but I don't understand how

If anyone can help me please do

Answers

If a boy heard the thunder 18.74998 seconds after the lightening of a storm which is at a distance 6km , so the speed of sound in air is 320m/s.

As we know that,

Speed = Distance / Time

Firstly we calculate the time taken by light to travel distance 6 Km.

Given,

Distance = 6Km

Speed = 3000000m/s

Time = D/ S

= 6000/ 3000000

= 0.002s

So, the time taken by light to reach the ground is 0.002s.

Now,

Time taken by sound to reach the ground = time taken by light + 18.749.

0.002 + 18.749

= 18.75

Now, t = 18.75

d = 6km

Speed = 6000/18.75

= 320m/s

Thus, we concluded that if boy heard the thunder 18.74998 seconds after the lightening of a storm which is at a distance 6km , so the speed of sound in air is 320m/s.

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calculate charlie's displacement on his bicycle if he travels a constant velocity of 8km/h north for 30 minutes


a, 240 km north
b, 4 km north
c, 22 km north
d, 16 km north
e, 38 km north

pls help ​

Answers

Answer:

B 4km north

Explanation:

what is the index of refraction of a substance that has a critical angle of 68.4º when submerged in water (n

Answers

The refractive index of the substance for the critical angle 68.4° is found as 1.43400055

To find the index of refraction, the given values are:

Critical angle is 68.4°.

What is the refractive index?

The refractive index can be defined as the ratio of the speed of light in the medium to the speed in the vacuum.

The formula of the refractive index is as follows:

Where,

n is the refractive index

c is the velocity of light in a vacuum ( 3 × 108 m/s)

v is the velocity of light in a substance

The vacuum has a refractive index of 1. The refractive index of other materials can be calculated from the formula mentioned. Higher the refractive index, the higher the optical density and slower is the speed of light.

The refractive index of different media can be listed in the table below:

Material            Refractive Index

Air                          1.0003

Water                     1.333

Diamond                2.417

Ice                           1.31

Ethyl Alcohol         1.36

Now, finding the value of refractive index,

As the value of critical angle is given,  θ = 68.4°,

θc = Sin ⁻¹ ([tex]\frac{n2}{n1}[/tex])

Considering the given values, n2 = 1.3333

θc = θ = 68.4°

So, n1 = ( n Water) / ( sin θc)

          = 1.33333 / sin 68.4°

          = 1.43400055

Thus, n1 ca be found as,1.43400055

The refractive index of the substance for the critical angle 68.4° is found as 1.43400055

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a speeding bullet the fastest commercially available rifle bullet claims a muzzle velocity of 4225 ft/s .

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Complete Question

The fastest commercially available rifle bullet claims a muzzle velocity of 4225 ft>s.

(a) what is this speed in miles per hour

The fastest rifle bullet reportedly has a muzzle velocity of 4225 feet per second. This speed is equivalent to 2880.68274 miles per hour in miles per hour.

Given Data:

1 foot = 0.000189394 miles4225 feet = 0.000189394 × 4225 milesNow allow us to locate the space covered by way of the bullet in one secondDistance included via a bullet in 1 second = 0.000189394 × 4225 milesDistance traveled by means of a bullet in 1/3600 hour = zero.000189394 × 4225 milesNow let us find the gap included by way of the bullet in a single hourDistance protected with the aid of a bullet in 1 hour = 0.000189394 × 4225 × 3600 milesthe velocity of the bullet is 2880.68274 miles/hour.

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Two vectors of the same magnitude are added; one pointing east, one west. the magnitude of the resultant vector is :_________

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Answer:

The magnitude of the resultant vector, two vectors of the same magnitude are added; one pointing east, one west is Zero.

Explanation:

Vector resolution is the process of identifying the magnitude and direction of a vector's components visually or trigonometrically. The magnitudes of the aforementioned vector are due to the fact that the vector sum of all forces must still be zero.

A resultant force can be found by adding two forces together. A single force can be resolved (divided) into two component forces that are at right angles to one another.

A vector quantity with magnitude and direction can be used to represent a force. The pulling force may be resolved using vector diagrams into a horizontal component acting to the right and a vertical component acting upwards (or forces acting in opposite directions).

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a helicopter blade spins at exactly 80 revolutions per minute. its tip is 4.00 m from the center of rotation.

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The average velocity will be 1.30 x 10⁻² m/ s.

What is velocity?

Velocity is defined as the ratio of the distance moved by the object at a particular time. As a vector quantity, the velocity requires both the magnitude and the direction.

Given that a helicopter blade spins at exactly 80 revolutions per minute. Its tip is 4.00 meters from the rotational axis.

Use the formula to calculate the linear velocity.

V= d/t

V= velocity

d= distance

t= time

Here d will be the circumference of the blade

d= 2πr

We have:-

80 rev = 1min

1min/ 80= 60s/80

The average velocity will be calculated as below:-

Vavg= 2π( 10m ) / 80 x 60

Vavg= 0.01308 m / s

Vavg = 1.30 x 10⁻² m / s

Therefore, the average velocity will be 1.30 x 10⁻² m/ s.

The complete question is given below:-

A helicopter blade spins at exactly 80 revolutions per minute. its tip is 4.00 m from the center of rotation. What will be the average speed of the helicopter blade?

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