   Chapter 2, Problem 10CQ

Chapter
Section
Textbook Problem

A ball is thrown straight up in the air. For which situation are both the instantaneous velocity and the acceleration zero? (a) On the way up (b) at the top of the flight path (c) on the way down (d) half-way up and halfway down (e) none of these.

To determine
The situation at which the acceleration and the velocity of the ball becomes zero, when the ball is thrown straight upwards.

Explanation

The magnitude of the acceleration of the ball when it is moving upwards is equal to the acceleration due to gravity since the ball is moving under gravity. The direction will be opposite to the upward motion of the ball.

The ball will slow down due to negative acceleration and reaches zero velocity at the top. The acceleration of the ball becomes positive; the ball starts from rest and moves downwards with increasing velocity and will have the maximum velocity at the bottom.

Conclusion:

The ball will have zero velocity at the maximum height. The acceleration of the ball is equal to the acceleration due to gravity, at this height. The acceleration of the ball never becomes zero throughout the motion...

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