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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 2 / Problem 94P

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

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A ball is thrown straight up from the ground with speed

Chapter 2, Problem 94P

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QUESTION:

Problem 94P

A ball is thrown straight up from the ground with speed v0. At the same instant, a second ball is dropped from rest from a height H, directly above the point where the first ball was thrown upward. There is no air resistance. (a) Find the time at which the two balls collide. (b) Find the value of H in terms of v0 and g such that at the instant when the balls collide, the first ball is at the highest point of its motion.

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QUESTION:

Problem 94P

A ball is thrown straight up from the ground with speed v0. At the same instant, a second ball is dropped from rest from a height H, directly above the point where the first ball was thrown upward. There is no air resistance. (a) Find the time at which the two balls collide. (b) Find the value of H in terms of v0 and g such that at the instant when the balls collide, the first ball is at the highest point of its motion.

ANSWER:

Solution 94P

Both objects are in free-fall and move with constant acceleration 9.80 m/ ${s}^{2}$ ,downward. The two balls collide when they are at the same height at the same time

Let + y be upward, so ${a}_{y}$ = 9. 80 m/ ${s}^{2}$ each ball.

Let ball A thrown straight up and ball B the one dropped from rest at height H

${y}_{oA}=0$ , ${y}_{oB}=H$ ,

a)y- ${y}_{0}$ = ${v}_{oY}$ t+ $\frac{1}{2}$ ${a}_{y}$ ${t}^{2}$

Applied for ball A

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