   Chapter 2, Problem 45P

Chapter
Section
Textbook Problem

A ball is thrown vertically upward with a speed of 25.0 m/s. (a) How high does it rise? (b) How long does it take to reach its highest point? (c) How long does the ball take to hit the ground after it reaches its highest point? (d) What is its velocity when it returns to the level from which it started?

(a)

To determine
The height at which the ball rises.

Explanation

Given Info: The initial velocity of the ball is 25.0m/s , the final velocity of the ball is 0 , and the acceleration of the ball is 9.80m/s2 .

Explanation:

The formula used to calculate the maximum height the ball raises is,

(Δy)max=v2v022a

Here,

(Δy)max is the displacement of the ball

v is the final velocity of the ball

v0 is the initial velocity of the ball

a is the acceleration

Substitute 25.0m/s for v0 , 0 for v , and 9

(b)

To determine
The time taken for the ball to reach the maximum height.

(c)

To determine
The time taken for the ball to reach the ground after reaching the maximum height.

(d)

To determine
The final velocity of the ball when it reaches the original level.

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