Chapter 2, Problem 59AP

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# A student throws a set of keys vertically upward to his fraternity brother, who is in a window 4.00 m above. The brother's outstretched hand catches the keys 1.50 s later. (a) With what initial velocity were the keys thrown? (b)? What was the velocity of the keys just before they were caught?

(a)

To determine
The initial velocity of the keys.

Explanation

Given Info: The time taken by the key to reach the maximum height is 1.50â€‰s , the acceleration of the keys is âˆ’9.80â€‰m/s2 , and the displacement of the keys is 4.00â€‰m .

Explanation:

The formula used to calculate the displacement of the keys is,

Î”x=v0t+12at2

Here,

Î”x is the displacement of the keys

t is time took by the keys to reach the maximum height

v0 is the initial velocity of the keys

a is the acceleration

Rearrange the equation to calculate the initial velocity of the keys. The formula used to calculate the initial velocity of the keys is,

v0=Î”xtâˆ’12at

Substitute 4.00â€‰m for Î”x , âˆ’9

(b)

To determine
The velocity of the keys just before the catch.

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