   Chapter 2, Problem 47P

Chapter
Section
Textbook Problem

A certain freely falling object, released from rest, requires 1.50 s to travel the last 30.0 m before it hits the ground. (a) Find the velocity of the object when it is 30.0 m above the ground. (b) Find the total distance the object travels during the fall.

(a)

To determine
The velocity of the object when it is at a height of 30.0m above the ground.

Explanation

Given Info: The displacement of the object is 30.0m , the time taken to complete the last 30.0m is 1.50s , and the acceleration of the object is 9.80m/s2 .

Explanation:

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

Δy=v0t+12at2

Here,

Δy is the displacement of the object

t is the time taken to complete the last 30.0m

v0 is velocity of the object when it is 30.0m above the ground

a is the acceleration

Rearrange the equation to find v0 .

v0=Δyt12at

Substitute 30.0m for Δy , 1

(b)

To determine
The total distance covered by the object when it falls.

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