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Ksenya-84 [330]
2 years ago
8

To test the quality of a tennis ball, you drop it onto a floor from a height of 4.00m . It rebounds to a height of 2.00 m. If th

e ball is in contact with the floor for 12.0ms,
(a) What is the magnitude of its average acceleration during the contact?
(b) is the acceleration up or down?
Physics
2 answers:
suter [353]2 years ago
5 0

Answer:

Part a)

a = 1210.3 m/s^2

Part b)

Since it rebounds upwards so it's acceleration is in upwards direction

Explanation:

Velocity of the ball just before it will collide with the floor when it is dropped from height 4.00 m

So we will have

v_f^2 - v_i^2 = 2 a d

so we have

v_1^2 - 0 = 2(9.81)(4.00)

v_1 = 8.86 m

When ball rebound to height h = 2.00 m

so here we have

v_f^2 - v_i^2 = 2a d

0 - v_2^2 = 2(-9.81)(2.00)

v_2 = 6.26 m/s

Part a)

For magnitude of average acceleration

a = \frac{v_f - v_i}{\Delta t}

a = \frac{6.26 - (-8.86)}{12\times 10^{-3}}

a = 1210.3 m/s^2

Part b)

Since it rebounds upwards so it's acceleration is in upwards direction

Agata [3.3K]2 years ago
3 0
In this problem, we apply the equation regarding  kinematics  expressed as  vf^2 = v0^2 + 2as  vf eventually becomes zero because the ball stops in the end. a = -9.8 m/s2s = 2 metres this time 
This gives initial velocity, vo equal to 6.26m/s 
now 6.26-(-8.85) = 15.11m/s 

change in velocity/change in time = average acceleration 15.11/(12/1000) = 1259.167 m/s^2
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