Book edition 9th Edition

Author(s) Raymond A. Serway, John W. Jewett

Pages 1624 pages

ISBN 9781133947271

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Short Answer

A pebble is dropped from rest from the top of a tall cliff and falls 4.9 m after 1.0 s has elapsed. How much farther does it drop in the next 2.0 s?
(a) 9.8 m
(b) 19.6 m
(c) 39 m
(d) 44 m
(e) none of the above.

Hence, option (c) 39 m is correct.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Definition of speed

The magnitude of an object's rate of change of position with time, or the magnitude of change of position per unit of time, is its speed. It is thus a scalar quantity.

Step 2: Explanation for correct answer

Given:

Initial velocity $v_{0} = 0$

The distance travelled in 1s is $Δ x_{1} = 4.9$ m

Let $x$ be the distance travelled in the next 2s

Total distance travelled in $3 s = 4.9 m + x$

From the equation of motion, $Δ x = v_{e} t + \frac{1}{2} a t^{2}$

role="math" localid="1663684119423" $4.9 m + x = (\frac{1}{2}) (9.8 m / s^{2}) (3 s)^{2} x = (\frac{1}{2}) (9.8 m / s^{2}) (3 s)^{2} x = 39.2 m \approx 39 m$

Therefore, at approximately 39 m the pebble dropped in the next 2.0 s.

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Physics For Scientists & Engineers

Answers without the blur.

Short Answer

A pebble is dropped from rest from the top of a tall cliff and falls 4.9 m after 1.0 s has elapsed. How much farther does it drop in the next 2.0 s?
(a) 9.8 m
(b) 19.6 m
(c) 39 m
(d) 44 m
(e) none of the above.

Step by Step Solution

Step 1: Definition of speed

Step 2: Explanation for correct answer

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Physics For Scientists & Engineers

Answers without the blur.

Short Answer

A pebble is dropped from rest from the top of a tall cliff and falls 4.9 m after 1.0 s has elapsed. How much farther does it drop in the next 2.0 s? (a) 9.8 m (b) 19.6 m (c) 39 m (d) 44 m (e) none of the above.

Step by Step Solution

Step 1: Definition of speed

Step 2: Explanation for correct answer

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A pebble is dropped from rest from the top of a tall cliff and falls 4.9 m after 1.0 s has elapsed. How much farther does it drop in the next 2.0 s?
(a) 9.8 m
(b) 19.6 m
(c) 39 m
(d) 44 m
(e) none of the above.