A man's higher initial acceleration means that a man can outrun a horse over a very short race. A simple - but plausible - model for a sprint by a man and a horse uses the following assumptions: The man accelerates at 6.0 m/s2for 1.8 s and then runs at a constant speed. A horse accelerates at a more modest 5.0 m/s2 but continues accelerating for 4.8 s and then continues at a constant speed. A man and a horse are competing in a 200 m race. The man is given a 100 m head start, so he begins 100 mfrom the finish line.

How much time does it take the man to finish the race? The horse? Who wins?

Answers

Answer 1

Answer:

 t_man = 10.16 s,   t_horse = 10.73 s,  the winner is the man

Explanation:

To solve this problem we are going to find the time of each one separately.

Man we look for distance and time during acceleration

         x₁ =  v₀ t₁ + ½ a₁ t₁²

as it comes out of rest its initial velocity is zero

        x₁ = ½ a₁ t₁²

        x₁ = ½ 6.0 1.8²

        x₁ = 9.72 m

at this point its speed is

        v₁ = v₀ + a t

        v₁ = 0 + 6  1.8

        v₁ = 10.8 m / s

From here on it continues at constant speed, the distance that the man needs to travel from the point where the man leaves at 100m is

        x₂ = 100 - x₁

        x₂ = 100- 9.72

        x₂ = 90.28 m

the time for this part is

        v₁ = x₂ / t₂

         t₂ = x₂ / v₂

         t₂ = 90.28 / 10.8

         t₂ = 8.36 s

the total time for the man is

        t_man = t₁ + t₂

        t _man = 1.8 + 8.36

        t_man = 10.16 s

We repeat the calculation for the horse

distance traveled during the acceleration period

         x₃ = v₀ t + ½ a₂ t₃²

as part of rest its initial velocity is zero

        x₃ = ½  a₂ t₃²

        x₃ = ½  5.0  4.8²

        x₃ = 57.6 m

the velocity at this point is

         v₃ = v₀ + a₂ t₃

         v₃ = 0 + 5  4.8

         v₃ = 24 m / s

the rest of the route is at constant speed, the remaining distance

         x₄ = 200 - x₃

         x₄ = 200 - 57.6

         x₄ = 142.4 m

the time to go through it is

         t₄ = x₄ / v₃

         t₄ = 142.4 / 24

         t₄ = 5.93 s

the total time for the horse is

         t_horse = t₃ + t₄

         t_horse = 4.8 + 5.93

         t_horse = 10.73 s

when we compare the times we see that the man arrives a little before the horse, the winner is the man


Related Questions

PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST The actual subject is Science but they dont have that as a option in pick a subject

Answers

Not any one of them but the approximate value is 0.075 km/min

At am outdoor market, a bunch of bananas is set into oscillatory motion with an amplitude of 29.8981 cm on spring with a spring constant

Answers

Answer:

Hello your question lacks some very vital information hence I will give you a general equation where you can input the missing values and get your answer

answer :  mass of Bananas ( m ) = [tex]\frac{A^2}{V^2} * K[/tex]

To calculate for weight of Bananas  = m * g      where g = 9.8

Explanation:

Given an amplitude ( A )= 29.8981

Spring constant = x ( unknown )

maximum speed of Bananas( v ) = wA  ( unknown )

question : calculate the weight of the bananas

First  step : calculate the period of oscillation

T = [tex]\frac{2\pi }{vA}[/tex] --- ( 1 )

next step : express T in terms of mass ( m ) of the bananas

= [tex]2\pi \sqrt{\frac{m}{k} } = \frac{2\pi }{vA}[/tex]

∴ m/k = A^2 / v^2

hence  mass of Bananas ( m ) = [tex]\frac{A^2}{V^2} * K[/tex]

To calculate for weight = m * g

10. A pitcher in a professional baseball game throws a fastball, giving the baseball
a momentum of 5.83 kg. m/s. Given that the baseball has a mass of 0.145 kg,
what is its speed?

Answers

Answer: 40.2m/sec

Work: v=p/m= 5.83kg/0.145k=40.2cm/sec

A spring of force constant 1500 Nm-l is acted
upon by a constant force of 75 N. Calculate
the potential energy stored in the spring.​

Answers

Answer:

1.876 J

Explanation:

First, let’s calculate the compression of the spring from the Hooke’s law:

F=kx,

here, F=75 N is the force acted on the spring, k=1500 N⁄m is the force constant of the spring, x is the compression of the spring.

Then, we get:

x=F/k=(75 N)/(1500 N/m)=0.05 m.

Finally, we can find the potential energy stored in the spring:

PE=1/2 kx^2=1/2∙1500 N/m∙(0.05 m)^2=1.875 J.

correct my answer if it's wrong ^^

A 1,680 kg satellite is in a circular orbit around Earth with a tangential speed of 6,578 m/s. What is the height of the satellite above the surface of the Earth?

Answers

Answer:

Recall that Earth’s radius is 6.38 × 106 m and Earth’s mass is 5.97 × 1024 kg.

Explanation:

Answer:

A- 2.7 on USA Test prep

Explanation:

A proton travels through uniform magnetic and electric fields. The magnetic field is in the negative x direction and has a magnitude of 2.48 mT. At one instant the velocity of the proton is in the positive y direction and has a magnitude of 1840 m/s. At that instant, what is the magnitude of the net force acting on the proton if the electric field is (a) in the positive z direction and has a magnitude of 5.19 V/m, (b) in the negative z direction and has a magnitude of 5.19 V/m, and (c) in the positive x direction and has a magnitude of 5.19 V/m

Answers

Answer:

a)   F = 15.6 10⁻¹⁹  k^   N,  b)  F = -1  10⁻¹⁹  k^   N,

c)  F = (8.3 i^ + 73 k^) 10⁻¹⁹ N

Explanation:

In this exercise we calculate the magnetic and electric force separately.

Let's start by calculating the magnetic force

       F_m = q v x B

where bold letters indicate vectors, the modulus of this expression is

       F_m = q v B

the direction is given by the right hand rule, where the thumb points in the direction of velocity, the fingers are extended in the direction of the magnetic field and the palm is in the directional ne force if the charge is positive

let's calculate the magnitude

      F_m = 1.6 10⁻¹⁹  1840  2.48 10⁻³

      F_m = 7.3 10⁻¹⁹ N

we calculate the direction, the thumb is in the direction of + y,

fingers extended in the direction of -ax

the palm remains + z

therefore the magnetic force is in the direction of the positive side of the z axis

The electric force is

        F_e = q E

give several possibilities for the electric field

a) electric field E = 5.19 V / m in the direction of + z

we calculate

        F_e = 1.6 10⁻¹⁹ 5.19

        F_e = 8.3 10⁻¹⁹ N

the total force is

       F = F_m + F_e

       F = (8.3 k ^ + 7.3 k ^) 10⁻¹⁹

       F = 15.6 10⁻¹⁹  k^   N

b) in the -z direction

       F_e = -8.3 10⁻¹⁹ k^   N

       F = Fm + Fe

       F = (-8.3 k ^ + 7.3 k ^) 10⁻¹⁹

       F = -1  10⁻¹⁹  k^   N

c) in the + x direction

       F_e = 8.3 10⁻¹⁹  i^   N

the total force is

       F = (8.3 i^ + 73 k^) 10⁻¹⁹ N

Calculate the refractive index for a substance where the angle of incidence is 300 , the angle of refraction is 600 , and the refractive index of second substance is 1.5

Answers

Answer:

η₁ = 2.6

Explanation:

Here, we will use snell's law to calculate the refractive of the substance:

[tex]\frac{\eta_2}{\eta_1} = \frac{Sin\theta_1}{Sin\theta_2}[/tex]

where,

η₁ = refractive index of first substance = ?

η₂ = refractive index of second substance = 1.5

θ₁ = angle of incidence = 30°

θ₂ = angle of refraction = 60°

Therefore,

[tex]\frac{1.5}{\eta_1} = \frac{Sin\ 30^0}{Sin\ 60^0}[/tex]

η₁ = 2.6

Tyson has been assigned to the offensive line as a left guard on his football team which requires him to make explosive movements and push other players body weight in a specific direction. Which sport skill does he demonstrate as his dominant skill based on this position assignment?

Answers

Answer:

The answer is power.

Explanation:

because in the reading it says it's his dominant skill.

and beacuse i got it right on the test.

Answer:

The answer is power.

Explanation:

A boy who is riding his bicycle, moves with an initial velocity of 5 m/s. ten second later, he is moving at 15 m/s. what is his acceleration

Answers

Answer:

1 m/s²

Explanation:

From the question,

Using

a = (v-u)/t.................... Equation 1

Where a = accelartion of the bicycle, v = Final velocity, u = initial velocity, t = time.

Given: v = 15 m/s, u = 5 m/s, t = 10 s

Substitute these values into equation 1

a = (15-5)/10

a = 10/10

a = 1 m/s²

Hence the acceleration of the bicycle is 1 m/s²

a positively charged body makes contact with a body. after a while, the charged body becomes neutralised. state 3 main conditions for this scenario to occur.​

Answers

Answer:

A body will become positively charged when some electrons will come out from the body.Thus, positive charge is due to deficiency of electrons.

Highlight two factors which shows that heat from the sun does reach the earth's surface by convection.

Answers

radiation

when the suns radiation fall on the earth and its objects they receive heat energy and hence get heated. Thus the suns heat reaches the earth by. the process of radiation

Absence of medium is the factor which shows that heat from the sun does reach the earth's surface by convection.

The heat of the sun reaches the earth only through radiation because radiation does not require any medium for the transfer of energy but convection and conduction required a medium to transfer heat energy.

We know that there is no medium present in vacuum so convection and conduction are impossible in a vacuum that's why the sun's heat does not reach the earth by conduction or convection.

Learn more about convection here: https://brainly.com/question/9382711

Learn more: https://brainly.com/question/22811911

Which best summarizes a concept related to the work-energy theorem?
- When work is positive, the environment does work on an object.
- When work is negative, the environment does work on an object.
- When work is positive, the kinetic energy in a system remains constant.
- When work is negative, the kinetic energy in a system remains constant.

this is times pls help!

Answers

Answer:

When work is positive, the environment does work on an object.

Explanation:

According to the work-energy theorem, the net work done by the forces on a body or an object is equal to the change produced in the kinetic energy of the body or an object.

The concept that summarizes a concept related to the work-energy theorem is that ''When work is positive, the environment does work on an object.''

Answer:

Your answer is A!

Have a good day!

A truck with a mass of 15,000 kg moving at 25 m/s crashes into the back of a small 1,100 kg car moving at 15 m/s. They
stick together after the collision. Calculate the momentum of the system before the collision and after the collision.

Answers

Explanation:

Given that,

Mass of a truck = 15,000 kg

Speed of the truck = 25 m/s

Mass of car = 1,100 kg

Speed of the car = 15 m/s

As they stick together after the collision. Let V be the speed after the collision.

Initial momentum of the system,

[tex]P_i=15000\times25+1100\times15\\\\=391500\ kg-m/s[/tex]

Final momentum of the system,

[tex]P_f=(15000+1100)V\\\\=16100V[/tex]

Hence, this is the required solution.

Which statement about the function of the cell membrane of all organisms is not correct? The cell membrane forms a barrier that keeps all substances that might harm the cell from entering the cell. The cell membrane is capable of transforming oxygen and glucose into energy for the cell The cell membrane controls the movement of molecules into and out of the cell.

Answers

Answer:

The cell membrane is capable of transforming oxygen and glucose into energy for the cell

Explanation:

The cell membrane encapsulates all the organelles of the cell. It provides protection for the organelles of the cell.

It transports nutrients into the cell and toxic materials out of the cell. It also prevents the entry of harmful materials into the cell.

The cell membrane does not perform the function of  transforming oxygen and glucose into energy for the cell.

A 1.80-kg object is attached to a spring and placed on frictionless, horizontal surface. A horizontal force of 15.0 N is required to hold the object at rest when it is pulled 0.200 m from its equilibrium position (the origin of the x axis). The object is now released from rest from this stretched position, and it subsequently undergoes simple harmonic oscillations.
(a) Find the force constant of the spring.
N/m

(b) Find the frequency of the oscillations.
Hz

(c) Find the maximum speed of the object.
m/s

(d) Where does this maximum speed occur?
x = ±
m

(e) Find the maximum acceleration of the object.
m/s2

(f) Where does the maximum acceleration occur?
x = ±
m

(g) Find the total energy of the oscillating system.
J

(h) Find the speed of the object when its position is equal to one-third of the maximum value.
m/s

(i) Find the magnitude of the acceleration of the object when its position is equal to one-third of the maximum value.
m/s2

Answers

Answer:

Explanation:

(a) Force constant = force/displacement = 15/0.2

=75 N/m

(b) For SHM with spring, the angular frequency = sqrt ( force constant / mass )

= sqrt ( 75 / 1.8 )

= 6.455

Frequency = Angular frequency / 2pi

= 1.03Hz

(c) Maximum speed is when object's potential energy is at minimum.

1/2*mass*speed^2 = 1/2*force constant*displacement^2

speed^2 = 75*0.2^2/1.8 = 1.67

speed = sqrt (1.67)

= 1.29 m/s

(d) It occurs at x=0

(e) Maximum acceleration = Force / m = 15/1.8

= 8.33 m/s^2

(f) It occurs at x=0.2m

Answer:

Explanation:

given:

The mass of the object attached to the spring: m = 1.80 kg

The magnitude of the maximum horizontal force exerted: F = 15.0 N

The amplitude of the spring-object oscillation: A = 0.200 m

a. k=15/.2=75N/m

b. (2pi*frequency)^2 = k/m = 75/1.8 = 41.67

frequency = 1.03Hz

c. max speed^2 = amplitude^2*k/m = 0.2^2 * 41.67

max speed = 1.29 m/s

d. x=0m

e. max accel = F/m = 15/1.8 = 8.33 m/s^2

f. x=0.2m

e. energy = 1/2*k*A^2

= 1/2*75*0.2^2

= 1.5J

A car hits a wall with a force of 80 N and
has a mass of 4.5 kg. What was the
acceleration of the car?

Answers

Formula for acceleration: A=Force/Mass
A=F/M
A=80N/4.5kg
A=17.7 m/s^2

Unit for A is meters per second (m/s^2)
Hope this helps :)

According to the graph, at which time during a sunny summer day are the
particles in a swimming pool likely to be moving the most quickly?
A. 6:00 p.m.
B. 11:00 p.m.
C. 5:00 a.m.
D. 8:00 a.m.

Answers

6:00 pm your welcome

Answer: A 6:00 pm

Explanation: took the exam

Match the choices below to the correct description. Drag the terms on the left to the appropriate blanks on the right. ResetHelp blank − this body wave is a compressional wave. − this body wave is a compressional wave. blank − this body wave is a shear wave. − this body wave is a shear wave. blank − this surface wave moves from side to side. − this surface wave moves from side to side. blank − this surface wave moves up and down. − this surface wave moves up and down.

Answers

Answer: hello the terms are missing but I have provided the answer ( the terms and matched them properly

answer :

P WAVESS WAVESL WAVESR WAVES

Explanation:

This body wave is a compressional wave  : P WAVES

This body wave is a shear wave :  S  WAVES

This surface wave moves from side to side : L WAVES

This surface wave moves up and down. : R WAVES

A body wave is a type of wave that passes through the interior of the earth and they are classified as ; P and S waves while surface waves are seismic waves that travel near the earth's surface

what is the main function of the circulatory system

Answers

Answer:

B

Explanation:

Answer:

The main function of the circulatory system is to carry nutrients to cells and waste away from cells.

Explanation:

Is this right? Please help me ITS SOCIOLOGY

Answers

Yes, this is correct Answer.

Is telekinesis real??? I really wanna start learning it!

Answers

Answer:

Highly doubt something that requires great focus and mental strength exists

An object has an acceleration of 18.0 m/s/s. If the net force acting upon this object were doubled, then its new acceleration would be m/s/s.​

Answers

Answer:

36.m/s/s

Explanation:

A longitudinal wave is a type of wave that transfers energy

Answers

Answer:

It transfers energy parallel to the direction of wave motion. A transverse wave..

Explanation:

Answer:

The answer is a Wave Motion

Explanation:

A longitudinal wave is a type of wave that transfers energy is called," Wave Motion".

Hope you have a great day :)

Please Help Me!!!
Water is a colorless and odorless liquid. It can exist in solid, liquid, and gas states. It boils at 100 degrees C and melts at 0 degrees C.
Which option best describes this information?
A.
These are the physical properties of water.
B.
These are the chemical properties of water.
C.
These are the physical changes water undergoes.
D.
These are the chemical changes water undergoes.
E.
These are the molecular changes water undergoes.

Answers

Answer:

There are the molecular changes water undergoes

9.) This 200 kg
stag that weighs
1,960 N on earth
would only weigh
324 N on the
moon. Calculate the moon's
acceleration due to gravity.

Answers

Answer:

Mass on moon = 33.06 kg

Explanation:

Given the following data;

Mass on earth = 200 kg

Weight on earth = 1960 N

Weight on moon = 324 N

To find the mass on moon;

First of all, we would determine the acceleration due to gravity.

Weight = mass * acceleration due to gravity

1960 = 200 * g

g = 1960/200

g = 9.8 m/s²

Next, we find the mass on moon;

Mass on moon = weight on moon/acceleration due to gravity

Mass on moon = 324/9.8

Mass on moon = 33.06 kg

Juan is studying a group of cells under a microscope. His teacher tells him that the cells either came from the leaf of a tomato plant or the scale of a lizard. Juan could conclude that the cells came from the tomato plant if they contained?

Answers

Answer:

chloroplasts

Explanation:

How do you find the velocity of a moving car?

Answers

Answer:

Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt. Speed (or rate, r) is a scalar quantity that measures the distance traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.

Explanation:

hope this helps a little bit sorry if i got it wrong

PLEASE HELP!!!!!!!!!!!!!!!!Match the label with the reason it might be important to the consumers.
1. country of origin
Kelli only buys vegetables grown
without pesticides.
Angie only buys foods made with
2. Organic Certification
sea salt to cut sodium intake.
3. dietary guideline
Nikki prefers to buy local products
to lessen her carbon footprint.

Answers

Answer:

1 is Nikki

2 is Kelli

3 is Angie

Explanation:

Hope this helps!

Which of these statements are true about hydroelectric power? A.It is the most widely used renewable energy source in the world. B.It never disrupts ecosystems. C.It is not always available. D.A hydroelectric dam controls the force of moving water to generate electricity.

Answers

D is the answer most true

Compare and contrast hydrogen fuel cell vehicles with vehicles that have intemal combustion engines.​

Answers

In a fuel cell vehicle, the hydrogen fuel is combined with oxygen. While the combustion in a hydrogen- or gasoline-powered engine is converted into mechanical energy, in a fuel cell vehicle, the chemical energy from the hydrogen and oxygen is converted into electrical energy.

A hydrogen fuel cell vehicle is different from internal combustion engine as in fuel cell, hydrogen combines with oxygen whereas in internal combustion engines, gasoline is used.

What are hydrogen fuel cell vehicles and internal combustion engines?

In a internal combustion engine or fuel cell vehicle, the hydrogen fuel is combined with oxygen atom. While the combustion in a hydrogen- fuel or in a gasoline-powered engine is converted into mechanical energy, however in the hydrogen fuel cell vehicle, the chemical energy from the hydrogen and oxygen is converted into electrical energy.

Both hydrogen internal combustion engines and the hydrogen fuel cells can power vehicles using hydrogen, a zero-carbon fuel. Hydrogen engines burn hydrogen gas in an internal combustion engine, in the same way as the gasoline is used in a power engine. Examples of hydrogen internal combustion engines include gasoline engines, diesel engines, gas-turbine engines, and rocket-propulsion systems.

Learn more about Internal combustion engines here:

https://brainly.com/question/2836941

#SPJ2

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