   Chapter 2, Problem 52P

Chapter
Section
Textbook Problem

A package is dropped from a helicopter that is descending steadily at a speed vn. After t seconds have elapsed, (a) what is the speed of the package in terms of vn, g, and t? (b) What distance d is it from the helicopter in terms of g and t? (c) What are the answers to parts (a) and (b) if the helicopter is rising steadily at the same speed?

(a)

To determine
The speed of the package.

Explanation

Given Info: The initial velocity of the package is v0 , the acceleration of the package is g , and the time taken is t .

Explanation:

The time starts when the package leaves the helicopter. The initial velocity of the helicopter and the package is same.

The formula used to calculate final velocity of the package is,

vp=vi+at

Here,

vp is the final velocity of the package

vi is the initial velocity of the package

a is the acceleration of the package

t is the time taken

Substitute v0 for vi , t for t , and g for a to find vp

(b)

To determine
The distance separating the package and the helicopter.

(c)

To determine
Answers to parts (a) and (b) if the helicopter is rising steadily at the same speed.

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