Answer:
The pelican was travelling at approximately [tex]9.5\; {\rm m\cdot s^{-1}}[/tex] when it dropped the fish.
The fish hit the water at approximately [tex]16\; {\rm m\cdot s^{-1}}[/tex].
(Assumption: air resistance on the fish is negligible; [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex].)
Explanation:
During the descent:
In the horizontal direction, the fish travels at a constant velocity.In the vertical direction, the fish accelerates downwards at a constant rate of [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex] under gravity.Since acceleration in the vertical direction is constant, make use of the SUVAT equation [tex]x = (1/2)\, a\, t^{2} + v_{0}\, t[/tex] to find the duration [tex]t[/tex] of the descent:
The vertical position of the fish changed by [tex]x = 7.8\; {\rm m}[/tex] during the entire descent. The vertical acceleration of the fish is [tex]a = g = 9.81\; {\rm m\cdot s^{-2}}[/tex]The pelican was flying horizontally when it dropped the fish. Thus, the initial velocity of the fish in the vertical direction is [tex]v_{0} = 0\; {\rm m\cdot s^{-1}}[/tex]. The equation becomes [tex]x = (1/2)\, a\, t^{2}[/tex].Rearrange this equation to find the duration of the descent, [tex]t[/tex]:
[tex]\begin{aligned} t &= \sqrt{\frac{2\, x}{a}} \\ &= \sqrt{\frac{2 \times 7.8\; {\rm m}}{9.81 \; {\rm m\cdot s^{-2}}} \\ &\approx 1.261\; {\rm s}\end{aligned}[/tex].
The vertical speed of the fish right before impact would be:
[tex]\begin{aligned} v_{y} &= a\, t \\ &\approx 9.81\; {\rm m\cdot s^{-2}} \times 1.261\; {\rm s} \\ &\approx 12.37\; {\rm m\cdot s^{-1}} \end{aligned}[/tex].
In the horizontal direction, the speed of the fish was constant- same as the initial speed of the pelican. The fish travelled a horizontal distance of [tex]x = 12.0 \; {\rm m}[/tex] within the [tex]t \approx 1.26\; {\rm s}[/tex] of the descent. As a result, the horizontal velocity of the fish would be:
[tex]\begin{aligned} v_{x} &= \frac{x}{t}\\ &\approx \frac{12.0\; {\rm m}}{1.261\; {\rm s}} \\ &\approx 9.52\; {\rm m\cdot s^{-1}} \end{aligned}[/tex].
Hence, the initial speed of the pelican would be approximately [tex]9.5\; {\rm m\cdot s^{-1}}[/tex].
Thus, right before impact:
The fish would be travelling at a horizontal velocity of [tex]v_{x} \approx 9.52\; {\rm m\cdot s^{-1}}[/tex].The fish would be travelling at a vertical velocity of [tex]v_{y} \approx 12.37\; {\rm m \cdot s^{-1}}[/tex].Apply the Pythagorean Theorem to find the overall velocity of the fish at that moment:
[tex]\begin{aligned} v &= \sqrt{{v_{x}}^{2} + {v_{y}}^{2}} \\ &\approx \sqrt{{(9.52\; {\rm m\cdot s^{-1}})}^{2} + {(12.37\; {\rm m\cdot s^{-1}})}^{2}} \\ &\approx 16\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].
In other words, the fish would hit the water at approximately [tex]16\; {\rm m\cdot s^{-1}}[/tex].
How many hp (horsepower) is a produced by a 3000 watt engine?
One horsepower (hp) is roughly comparable to 746 watts (W) or 0.746 kilowatts (kW). Multiply by 746 to convert from horsepower to watts. Multiply by 0.00134 to convert from watts to horsepower. multiply by 0.746 to convert horsepower to kilowatts.
What does 750w hp mean?The units of power, or the amount of energy expended during a time unit, are the watt or horsepower. Your motor can produce 750 W of power, or 750 Joules of energy per second, if it has a 1 HP rating. Power is the pace of energy. When power is given over a period of time, the amount of energy is equal to power * time.
A turbocharger may possibly increase your horsepower by 70–150 hp and works with the exhaust system. A supercharger, which may provide 50–100 horsepower, is directly attached to the engine intake.
Theoretically, a horse power equals around 746 Watt in conventional estimates.
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Question 2 of 10
During which step of the scientific method does a scientist determine
whether the hypothesis was supported?
OA. Draw conclusions
OB. Design an experiment
OC. Collect data
OD. Perform the experiment
SOBMIT
When the scientists draw conclusions the scientist find out whether the hypothesis was supported.
A hypothesis is a theory put up to explain a phenomenon. A hypothesis cannot be called a scientific hypothesis unless it can be tested using the scientific process.
Once your experiment is complete, you collect your measurements and analyze them to see if they support your hypothesis.
Scientists frequently discover that their hypotheses and predictions were not supported by the results of their experiments. In these circumstances, they will discuss the results of their experiment before reevaluating their initial theories and predictions in light of the fresh information. The scientific method is essentially restarted in this way. Even if they discover that their theory was correct, they could still wish to verify it once more using a different approach.
The correct option is (a).
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Sample Question: 4
A 5 kg mass is lifted from the ground to
a height of 10m.
The gravitational potential energy of
the mass is increased approximately
by
The gravitational potential energy of the mass in increased approximately by 490 J
Gravitational Potential energy formula is
P=mgh
where mass is given my m= 5 Kg
g is the gravitational force i.e. 9.8 [tex]m/s^{2}[/tex]
h is the height above the ground that is given by 10 m
P = 5*9.8*10
P = 490 J
What is gravitational potential energy?
The potential energy that a huge item has in relation to another massive object due to gravity is known as gravitational energy or gravitational potential energy. When two objects descend toward one another, the potential energy associated with the gravitational field is released (transformed into kinetic energy).
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what is a four-step energy transformation chain from mechanical to electrical? (something that we use in everyday life)
Energy transformation, also known as energy conversion, is the process of changing energy from one form to another.
What is a four-step energy transformation chain from mechanical to electrical?The energy of transformation in a proper way is known as the transformation chain. When we boiled water in the kettle, then the water starts to boil so electrical energy is converted into thermal energy. When we drop the water from the kettle into the cup, then the gravitational potential energy is converted into the kinetic energy because the height is involved in it. Generator is the source of electrical energy in which mechanical energy is converted into electrical energy.
So we can conclude that energy transformation, also known as energy conversion, is the process of changing energy from one form to another.
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Answer
According
to the Kinetic
Molecular theory, states that
make up matter are in
Answer:
they are four natural states that makes up matter which are; solid, liquid, gases and plasma.
i hope thus helps you
10. A spring whose composition is not completely known might be either bronze (sp gr 8.8) or brass (sp gr 8.4). It has a mass of 1.26 g when measured in air and 1.11 g in water. Which is it made of?
The element used is of bronze.
Now before we find out how we got the answer as bronze, firstly let us understand about the device we are talking about. That is, spring.
What exactly is a spring?
A spring is defined as a device that changes its shape in response to an external force, returning to its original shape when the force is removed. If we apply force or pressure in this device, it will change its shape but the moment we stop applying force, it will come back to its original state.
This means that this device is made of something flexible. So, the material it is made up of should also be flexible in nature.
How to find out flexibility of spring?
Flexibility of spring can be found as q = f Q, where f is the spring flexibility.
Here, in this question, we are given the mass of element in air and water. This shows a slight comparison between the mass of that particular element in air and water and thus, we get to know it is trying to draw our attention towards density.
Here, we have mass in air and water, thus, we can determine the density.
From these numbers, we can know that the density given is of bronze.
Hence, the element used is Bronze.
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A small bottle has a mass of 20 g when empty. The volume of the bottle is 10 cm3. When full of liquid, the total mass is 150 g. What is the density of the liquid?
Answer:
The density of liquid is 15g/cm^3
Explanation:
m= 150h
v=10 cm^3
d=?
we know that,
d=m/v
= 150/10
=15
O 10
Question 12
Which Noble Gas has the lowest average atomic mass?
ONe
Xe
Ar
He
The mass of an atom is its atomic mass. Although the kilogram is the standard international measurement of mass, the unified atomic mass unit, or dalton, is frequently used to express atomic mass. One Da is equal to one-twelfth of a free carbon-12 atom's mass when it is at rest in the ground state.
Which Noble Gas has the lowest average atomic mass?
Ne; Xe; Ar; He
"He - 4.0026Da"
It is written as a multiple of 1.992646547 1023 gram, or one-twelfth of the mass of the carbon-12 atom, which is given an atomic mass of 12 units. In this scale, 1.660539040 1024 gram is equal to 1 atomic mass unit (amu). In honor of English chemist John Dalton, the atomic mass unit is often known as the dalton (Da).
The total mass of the protons, neutrons, and electrons that make up an atom is a little bit less than the observable atomic mass. According to an equation where the energy (E) released equals the product of the mass (m) consumed and the square of the velocity of light in vacuum (c), the difference, known as the mass defect, is accounted for during the combination of these particles by conversion into binding energy; thus, E = mc2.
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2. What tools allows you to provide a clean soldered? a. Soldering Iron b. Soldering Lead c. Soldering Flux d. Soldering Stand
Soldering Stand allows you to provide a clean soldered.
By melting and inserting a filler metal with a lower melting point than the adjacent metal into the joint, two or more objects are connected together by the process of soldering. Soldering doesn't involve melting the work components as welding does.
A hand instrument used in soldering is a soldering iron. In order for the solder to flow into the joint between two workpieces, it needs heat to melt. A hot metal tip and an insulated grip make up a soldering iron.
Soldering stands: Of course, soldering supports are necessary for safety reasons as well as for maintaining the cleanliness of the soldering tip. The soldering iron heats up after a while, so it's crucial to store it safely to prevent any fire disasters.
The tool that allows you to provide clean soldering is a Soldering stand.
The correct option is (d).
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A race car goes around a level, circular track with a diameter of 1.00 km at a constant speed of 75 km/h. What is the car's centripetal acceleration in m/s2?
With the use of formula, he car's centripetal acceleration is 0.43 m/s²
What is Angular Velocity ?Angular velocity is the angle turned by a body per time taken. It is measured in radian per second. That is, rad/s
Given that a race car goes around a level, circular track with a diameter of 1.00 km at a constant speed of 75 km/h. What is the car's centripetal acceleration in m/s²
Centripetal Acceleration a = v² / r
Where
v = 75 km/h = 75/3.6 m/s = 20.83 m/sr = 1.00 Km = 1000 mSubstitute the two parameters into the equation
a = 20.83² / 1000
a = 434.03 / 1000
a = 0.43 m/s²
Therefore, the car's centripetal acceleration is 0.43 m/s²
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2. Use evidence to evaluate if black holes
exist?
Answer:
They do exist.
Explanation:
Black holes exist because they could be found almost everywhere maybe there isn't anything inside it but there is many black holes!
Answer: the best evidence is through micro-quasars, also known as x-ray binaries. These objects emit strong x-rays from an Earth-sized region in space.
how does the distance between 2 objects and their masses affect the gravitational force between the 2 objects
The strength of the gravitational force between two objects depends on two factors, mass and distance exert on each other. If one of the masses is doubled, between the objects is doubled increases, the force of gravity decreases.
What exactly is the gravitational force?Newton's universal law of gravitation states that the attraction force between any two bodies is proportional to the product of their masses and inversely related to the square of the distance between them.
Is the gravitational force 9.8?All objects on Earth experience weight, or a gravitational pull that is proportionate to their mass and is imposed by the planet's mass. A measure of the force of gravity is the acceleration that freely falling objects experience. At the surface of the Earth, gravity accelerates at a rate of about 9.8 meters (32 feet) per second each second.
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3. (01.03 LC)
When is the net force on an object equal to zero? (4 points)
O When the object is in motion
O When the object is changing direction
O When the forces acting on the object are balanced
O When inertia is not present
The net force on an object equal to zero When the forces acting on the object are balanced
Option C is correct answer.
When the forces acting on the object are balanced :When the net forces working on the object are balanced, it's in equilibrium.Net forces imply that each one forces, or their effective values, are equal and opposite to every other in magnitude and direction.Since all forces cancel one another, therefore the object has no effective force acting on it.Such an object might be at rest or in motion. Therefore the net force on the object is 0.When the sum of forces on an object is zero the object?
Newton's first law states that when the resultant of all forces acting on an object (the net force) is zero, the thing is in equilibrium. If the thing is initially at rest, it remains at rest. If it's initially in motion, it continuously move with constant velocity.
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Which of the following will cause the decrease in an objects weight
When the mass of the object decreases the weight of the object will decrease.
Newton's universal law of gravitation states that the force of attraction between any two bodies is inversely proportional to the square of the distance between them and directly proportional to the product of their masses.
We know that weight is the product of applied gravitational force and mass.
Therefore, W = M × G
Where W represents the weight of the object, M is the mass of the object, and G is the gravitational force. As a result, it might also mean that "an object's weight is directly proportionate to its mass."
Therefore, a decrease in mass will result in a decrease in the object's weight.
The correct option is (b).
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The complete question is mentioned below:
Which of the following will cause a decrease in an object's weight?
(a) Increase in the mass of the object
(b) Decrease in the mass of the object
(c) Increase in the temperature of the object
(d) Decrease in the temperature of the object
An object is observed to fall from a bridge, striking the water below with a velocity of 187.82 m/s. The height of the bridge in meters is:
The height of the bridge is 1796.895 m if an object falls from the bridge and strike the water below with a velocity of 187.82 m/sec.
Velocity of the object, v = 187.80 m/s
Height of the bridge will be
According to the three equations of motion,
1) First equation Velocity - Time relation states that,
[tex]v = u + at[/tex]
here 'a' will be the acceleration due to gravity i.e g = 9.8 [tex]\frac{m}{secx^{2} }[/tex]
'v' = 187.80 m/s
'u' = 0 m/s
therefore,
[tex]t = \frac{v - u}{a}[/tex]
[tex]t = \frac{187.80 - 0}{9.81}[/tex]
t = 19.14 sec
2) Second equation Position - Time relation states that,
[tex]s = ut + \frac{1}{2} at^{2}[/tex]
here 'a' will be the acceleration due to gravity i.e g = 9.8 [tex]\frac{m}{secx^{2} }[/tex]
'u' = 0 m/s
't' = 19.14 sec
[tex]s = 0 + \frac{1}{2} 9.81 *(19.14^{2})[/tex]
s = 0 + 4.905 * 366.34
s = 1796.895 m
The height of the the bridge is 1796.895 m.
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1. After completing the professional self-inventory, introduce yourself to your instructor and classmates as you would to an employer in an interview by briefly describing your work (or volunteer) experience. Use the results of your self-inventory to guide your introduction. 2. Explain how your work (or volunteer) experience or skills will be valuable in the healthcare field. 3. Describe two (2) tips for writing an effective work experience section from your research. Be sure to cite your source(s).
app will diagnose a particular disease and suggest the appropriate measures and helps in booking an appointment with the doctor.
Let us assume that self-inventory is a health care application.
It is useful in the domain of health care.
the app will diagnose a particular disease and suggest the appropriate measures and helps in booking an appointment with the doctor.
so this is a computer engineering student's invention he/she can show this in the workplace and can explain them.
this would increase the chances of getting hired.
This also adds to our experience.
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Please help me to find the velocity!!!
The relation that predicts the velocity, [tex]x(t) = \frac{1}{2} \cdot 4 \cdot {t}^{2} [/tex], gives the velocity at t = 4.5 seconds as 18
Which values can be found from the given relation in order to predict the velocity?The given function for the velocity of the car with time is [tex]x(t) = \frac{1}{2} \cdot 4 \cdot {t}^{2} [/tex]
Comparing the above function with the following equation of motion;
[tex]x(t) = u\cdot t + \frac{1}{2} \cdot a \cdot {t}^{2} [/tex]
We have;
x(t) = The distance traveled after time, t
a = The acceleration = 4
u = The initial velocity = 0
The equation of motion for the velocity as a function of time is; v = u + a•t
Which gives;
v = 0 + 4•t
The velocity of the car at t = 4.5 seconds is therefore;
v = 0 + 4 × 4.5 = 18
The velocity of the car at t = 4.5 is 18
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1. An aircraft is flying due north with a velocity of 200 m s -1. A side wind of velocity
50 m s -1 is blowing due east. What is the aircraft's resultant velocity (give the
magnitude and direction)?
The Magnitude of the resultant velocity is given by: Vr = squareroot of the addition of (2002 + 502) = 210m/s at 14.04degrees.
The velocity would be roughly 206.16 m/s at a heading of approximately if the airplane were simply following the wind and not attempting to course correct. A compass reading of 14.04 degrees (0 deg being North, 90 deg being East).
Y axis is north, and X axis is east. The line m=rise (y2-y1)/run (x2-x1) = 200/50 has a slope of 4/1. Since a2 + b2 = c2 on the triangle, 40,000 + 2,500 = 42,500. The hypotenuse of our right triangle, which represents the total distance traveled in one second, is equal to 206.16, which is the sq root of that number.
Now, we can determine the heading using TAN = Opposite / Adjacent (the angle x of the line on our graph). TAN (x) = 50/200 = 0.25 so x = 14.04 degrees, approximately.
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A generator:
operates only when a circuit is open.
is responsible for the coil that turns inside of an electric motor.
uses electromagnetic induction.
All of the choices are correct
When she sees the red traffic light, Marie brakes to a halt from a speed of 70m/s in just 2.0
seconds. What is her acceleration?
35 is the deceleration
Deceleration is described as a reduction in speed as the body advances away from the beginning position. The opposite of acceleration is deceleration. It is written as. Negative acceleration is another name for deceleration. The formula for calculating acceleration is modified by adding a negative sign to calculate deceleration, which is the exact opposite of acceleration. Deceleration will be since deceleration is determined by dividing the change in velocity by time.
Deceleration is equal to -v/t, where v stands for velocity change and t for time.
Since t = 2 s and v = 70 m/s in this instance,
Deceleration equals -70/2 to -35.
35 mph is the deceleration.
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help pls will give brainliest
Answer:
a) because book A has a smaller surface area than B and the formula for pressure is Pressure = Force / Area so the smaller the area of contact the larger the pressure exerted on the table.
Explanation:
hope this works :)
Why do the planets stay in orbit?
O friction
O gravity
O kinetics
O mass
Answer:
B
Explanation:
Gravity
a ball rolling down a hill for 9 seconds accelerates from 3 m/s to 34.5m/s
The ball rolling down the hill has an acceleration of 3.5 [tex]m/s^2[/tex].
Acceleration refers to the rate at which an object's velocity with regard to time changes. An object's velocity might alter depending on whether it moves faster or slower or in a different direction.
Given:
Initial velocity, u = 3m/s
Final velocity, v = 34.5m/s
Time, t = 9 seconds
To find:
Acceleration, a = ?
Formula:
v = u + at
Calculations:
a = (v – u) / t
a = (34.5 – 3) / 9
a = 31.5 / 9
a = 3.5 [tex]m/s^2[/tex]
Result:
The acceleration of the rolling ball is 3.5 [tex]m/s^2[/tex].
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Olivia is performing an experiment with a series circuit that contains a battery and two bulbs. In the middle of the experiment both bulbs stop burning at the
same time. She finds that the battery no longer has a charge. What is the best explanation of the energy in the circuit?
A: The energy in the battery was transformed into electrical energy, light energy, and heat energy.
B: The electrical energy in the circuit was used up.
C: The electrical energy was transformed by an insulator.
D: The energy in the battery was not conserved
The best explanation of the energy in the circuit is, the energy in the battery was transformed into electrical energy, light energy, and heat energy.
option A is the correct answer
What is law of conservation of energy?The law of conservation of energy states that the total energy of an isolated system remains constant, that is the total energy of the isolated system is said to be conserved over time.
According to the law of conservation of energy, energy can neither be created nor destroyed but can be converted from one form to another.
For instance, electrical energy can be converted into heat and light energy, mechanical energy can be converted into electrical energy, and vice versa, chemical energy can be converted into light and heat energy.
Thus, when she finds that the battery no longer has a charge, the best explanation of the energy in the circuit would be the energy in the battery was transformed into electrical energy, light energy, and heat energy.
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Answer:
Explanation:
It's A I got this question wrong twice and I got it correct when I clicked A. Hope this helps!
Highway safety engineers build soft barriers so that cars hitting them will slow down at a safe rate. A person wearing a safety belt can withstand an acceleration of 300 m/s/s. How thick should barriers be to safely stop a car that hits the barriers at 76.86 km/h?
The thickness is mathematically given as
d= 0.7597m
How thick should barriers be to safely stop a car that hits the barriers at 76.86 km/h?Torricelli's law is a thesis that can be found in the discipline of fluid dynamics. It states that the rate at which fluid is ejected from an orifice is related to the height of fluid that is present above the opening. Torricelli's theorem is another name for this concept.
Generally, the equation for is Torricelli's equation mathematically given as
The stopping acceleration is given by a=-300ms^2
The initial speed is[tex]$v_0=76.86 \mathrm{~km} / \mathrm{h} \approx 21.35 \mathrm{~m} / \mathrm{s}$.[/tex]
We can use Torricelli's equation to find the safe stopping distance $d$. We have
[tex]d=\frac{(21.35 \mathrm{~m} / \mathrm{s})^2}{2\left(300 \mathrm{~m} / \mathrm{s}^2\right)}[/tex]
d= 0.7597m
In conclusion, The thickness is mathematically given as
d= 0.7597m
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What is Motion Under Gravity.
What are the reactants in a chemical formula?(1 point) Responses the substance created by chemical change the substance created by chemical change the atoms after the chemical reaction, found on the right side of the equation the atoms after the chemical reaction, found on the right side of the equation the atoms left over after the formation of the new substance the atoms left over after the formation of the new substance the atoms prior to the chemical reaction, found on the left side of the equation
The reactants in a chemical formula is the atoms prior to the chemical reaction, found on the left side of the equation. That is option D.
What is a chemical formula?A chemical formula is defined as the scientific way of representation of chemical compounds either singly or during a chemical reaction.
During a chemical reaction, a chemical formula is made up of a right side and a left side with an arrow at its middle indicating the movement of the energy of the chemical reaction.
The reactants are found located at the left hand side of the chemical formula.
The reactants are made up of elements and compounds which combines to form a new product through the formation of new chemical bonds.
For example in the formation of water,
2H2. + O2. --> 2H2O
Here, Hydrogen and oxygen molecules are the reactants which are seen on the left-hand side of the chemical reaction.
Therefore, The reactants in a chemical formula is the atoms prior to the chemical reaction, found on the left side of the equation.
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Answer: D
Explanation: I took the quick check
Does anyone know how to solve this before the deadline???!!!
[tex]V(bar)=46.33(km/hr).[/tex]
Explanation:Let's refer to the formula of average velocity.
Formula: [tex]V(bar)=\frac{td}{ct}[/tex], where td is the todal displacement, and ct is the change in time.
Since we're trying to find out the average velocity of the whole event (from time 0 when the car started moving to time 30 minutes when it finished the trip), we must take 30 minutes as our change in time.
Now, we need to find the distance traveled by the car on each instance of speed:
1. Distance covered with speed 1.
To find the covered distance, use the following formula.
[tex]d=vt[/tex], where "v" is velocity, and "t" is time.
Note. When using this type of formulas, all variables must match units. For example, say that your velocty is on km/hr, this means that the time or distance you input or calculate is going to be on kilometers or hours.
Find the value.
[tex]d=(61(km/h))(10(min))\\ \\d=610 (km).[/tex]
2. Distance covered with speed 2.[tex]d=(39(km/h))(20(min))\\ \\d=780 (km).[/tex]
3. Find average velocity through the given formula.Note. We add up both calculated distances to find the total displacement of the car.
[tex]V(bar)=\frac{td}{ct}\\ \\V(bar)=\frac{610(km)+780(km)}{30(min)}\\ \\V(bar)=46.33(km/hr).[/tex]
The average velocity of the car in Km/h during the trip is 98.37 Km/h
What is velocity?Velocity is simply defined as the rate of change of displacement with time. Mathematically, it can be expressed as:
Velocity = displacement / time
What is average velocity?This is the total displacement travelled divided by the total time taken to cover the displacement. Mathematically, it can be expressed as:
Average velocity = Total displacement / total time
How to determine the displacement travelled in the first 10 minsVelocity = 61 Km/hTime = 10 mins = 10 / 60 = 0.167 h displacement =?Displacement = velocity × time
Displacement = 61 × 0.167
Displacement = 10.187 Km
How to determine the average velocity Total displacement = 10.187 + 39 = 49.187 KmTotal time = 10 + 20 = 30 mins = 30 / 60 = 0.5 hAverage velocity =?Average velocity = Total displacement / total time
Average velocity = 49.187 / 0.5
Average velocity = 98.37 Km/h
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What action should you take if you are in debt
Answer:
1. save enough money to pay larger debts
Explanation:
A student throws a set of keys vertically upward to her sorority sister, who is in a window 2.30 m above. The second student catches the keys 2.50 s later.
(a) With what initial velocity were the keys thrown?
The initial velocity of the keys is 13.17 m/s.
A student tosses her sorority sister, who is in a window 2.30 meters above, a set of keys vertically upward.
The second student catches the key 2.50s later.
We simulate the keys as a particle falling at a steady speed. Assume that the positions of the first and second students are, respectively, y(i) = 0 and y(f) = 2.30m.
Now, we have
The time of flight of the keys is t = 2.50 seconds.
Now, the acceleration is a(y) = -9.8 m/s²
We will use the equation of motion,
y(f) = y(i) + v(yi) × t + ( 1/2 ) × a(y) × t²
v(yi) = [ y(f) - y(i) - ( 1/2 ) × a(y) × t² ] / t
v(yi) = [ 2.3 - 0 - ( 1/2 ) × ( - 9.8 ) × (2.5)² ] / 2.50
v(yi) = [ 2.3 + 30.625 ] / 2.50
v(yi) = 32.925 / 2.5
v(yi) = 13.17 m/s
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