A ball of mass m is shot straight up into the air with an initial speed vi.   (a) What is the maximum height reached by the ball (in terms of vi and g)?   (b) A second ball is dropped from rest from a height, h, directly above the first ball, and is released at the same time that the first ball is shot upwards. At what height will the two balls collide? Provide an expression in terms of h, vi, and g.   (c) From what height should the second ball be dropped from so that the two balls collide when the first ball is at its maximum height?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 7OQ: A student at the top of a building of height h throws one ball upward with a speed of vi and then...
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A ball of mass m is shot straight up into the air with an initial speed vi.

 

(a) What is the maximum height reached by the ball (in terms of vi and g)?

 

(b) A second ball is dropped from rest from a height, h, directly above the first ball, and is released at the same time that the first ball is shot upwards. At what height will the two balls collide? Provide an expression in terms of h, vi, and g.

 

(c) From what height should the second ball be dropped from so that the two balls collide when the first ball is at its maximum height?

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