Physics, 18.02.2020 17:20 hjohnsonn102010

You toss a racquetball directly upward and then catch it at the same height you released it 2.16 s later. Assume air resistance is negligible.

(a) What is the acceleration of the ball while it is moving upward?

magnitude
direction
(b) What is the acceleration of the ball while it is moving downward?

magnitude
direction
(c) What is the acceleration of the ball while it is at its maximum height?

magnitude
direction
(d) What is the velocity of the ball when it reaches its maximum height?

magnitude
direction
(e) What is the initial velocity of the ball?

magnitude
direction
(f) What is the maximum height that the ball reaches?

Answers: 1

Show answers

Answers

Answer from: durham953

This question involves the concepts of acceleration due to gravity and the equations of motion.

a) The acceleration of the ball while moving upward is "9.81 m/s²" in "downward direction".

b) The acceleration of the ball while moving downward is "9.81 m/s²" in "downward direction".

c) The acceleration of the ball while it is at the highest point is "9.81 m/s²" in "downward direction".

d) The velocity of the ball at maximum height is "0 m/s".

e) The initial velocity of the ball is "10.6 m/s".

f) The maximum height reached by the ball is "17.16 m".

The acceleration of an object during the vertical motion is always constant and it is equal to the acceleration due to gravity. Therefore,

Magnitude: 9.81 m/s²

Direction: Downward

Magnitude: 9.81 m/s²

Direction: Downward

Magnitude: 9.81 m/s²

Direction: Downward

When the ball reaches the maximum height it stops for a moment to change its direction from upward to downward. Hence at the maximum height, the speed of the ball is 0 m/s.

Using the first equation of motion for the upward part of the motion to find out the initial velocity of the ball:

v_f=v_i+gt

where,

vf = final speed at highest point = 0 m/s

vi = initial speed = ?

g = acceleration due to gravity = 9.81 m/s²

t = time taken for upward motion = 2.16 s/2 = 1.08 s

Therefore,

$0\ m/s=v_i+(9.81\ m/s^2)(1.08\ s)\\\\v_i=10.6\ m/s$

Now, we will use the second equation of motion to find out the maximum height:

$h=v_it+\frac{1}{2}gt^2\\\\h=(10.6\ m/s)(1.08\ s)+\frac{1}{2}(9.81\ m/s^2)(1.08\ s)^2\\\\h=11.44\ m+5.72\ m$

h = 17.16 m

Learn more about equations of motion here:

link

The attached picture shows the equations of motion.

Answer from: derioncapers2346

All results below

Explanation:

Vertical Throw

An object being thrown upwards in free air (neglibible friction) has a motion with changing velocity ruled only by the acceleration of gravity that attracts all the objects near the planet to its center or in our case, to the ground level.

The racquet ball is tossed upward and caught 2.16 seconds later at the same height. Let's answer each part:

(a) What is the acceleration of the ball while it is moving upward?

The only acceleration acting on the ball is the acceleration of gravity, regardless of the ball's position or time in the air. Thus:

Magnitude: $9.8\ m/s^2$

Direction: -90° (negative y-axis)

(b) What is the acceleration of the ball while it is moving downward?

Same answer as part (a), the acceleration is constant.

Magnitude: $9.8\ m/s^2$

Direction: -90° (negative y-axis)

Same answer as parts (a) and (b), the acceleration is constant.

Magnitude: $9.8\ m/s^2$

Direction: -90° (negative y-axis)

(d) What is the velocity of the ball when it reaches its maximum height?

The initial speed at which the ball was launched gradually goes to zero as the object goes higher. When the speed finally is 0, the object reaches its maximum height, thus:

V=0 m/s

Direction: Does not apply

(e) What is the initial velocity of the ball?

The flight time is twice the time it takes to reach the maximum height, thus the ball goes up for 2.16/2=1.08 seconds and goes down for 1.08 seconds. The speed it's launched is the same speed is returns back to the launch point and is computed by

$v_f=g.t=9.8\cdot 1.08=10.584\ m/s$

Thus the initial speed is

$v_o=10.584\ m/s$

Direction: +90° (positive y-axis)

(f) What is the maximum height that the ball reaches?

$\displaystyle y=\frac{gt^2}{2}=\frac{9.8\times 1.08^2}{2}=5.72\ m$

The maximum height is 5.72 m

You toss a racquetball directly upward and then catch it at the same height you released it 2.16 s l

Answer from: Quest

the answer is 12 as i may remember

: )

Answer from: Quest

Ireally just need to get finished with precal! i’m really sorry i have to do this! hope this !

Another question on Physics

Physics, 21.06.2019 22:00

Explain what makes a passenger in a turning car slide toward the door. critical thinking

Answers: 1

Answer

Physics, 22.06.2019 06:00

Aball is thrown upward. at a height of 10 meters above the ground, the ball has a potential energy of 50 joules (with the potential energy equal to zero at ground level) and is moving upward with a kinetic energy of 50 joules. what is the maximum height h reached by the ball? consider air friction to be negligible. 1. h ≈ 10 m 2. h ≈ 50 m 3. h ≈ 30 m 4. h ≈ 40 m 5. h ≈ 20 m 003 10.0 points which of the two object shown below has the greatest kinetic energy? a m b 1 2 m v 2v 1. kinetic energies are the same. 2. a 3. b 4. unable to determine. 004 10.0 points tim, with mass 74.6 kg, climbs a gymnasium rope a distance of 3.1 m. the acceleration of gravity is 9.8 m/s 2 . how much potential energy does tim gain? answer in units of j. 005 10.0 points a car is moving at 64 miles per hour. the kinetic energy of that car is 5 × 105 j. how much energy does the same car have when it moves at 111 miles per hour? answer in units of j. 006 10.0 points an 102 kg man climbs up a 1 m high flight of stairs. the acceleration of gravity is 9.81 m/s 2 . w

Answers: 3

Answer

Physics, 22.06.2019 16:00

The discovery of the electron as a subatomic particle was a result of

Answers: 2

Answer

Physics, 22.06.2019 17:00

Using proper grammar, spelling, and punctuation, write at least one 5 sentence paragraph describing 3 ways we use the elements of the electromagnetic spectrum (ems) in our everyday lives.

Answers: 2

Answer

You know the right answer?

You toss a racquetball directly upward and then catch it at the same height you released it 2.16 s l...

Questions

Physics, 10.11.2020 14:00

What Is rotational force...

SAT, 10.11.2020 14:00

In Noname Co, Executive Director Benjamine recently found out there had been an increase in products failing quality checks. These checks were carried...