Book edition 9th Edition

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

Pages 1624 pages

ISBN 9781133947271

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Short Answer

A girl delivering newspapers covers her route by traveling $3.00$ blocks west, $6.00$ blocks north, and then $6.00$ blocks east.
(a) What is her resultant displacement?
(b) What is the total distance she travels?

a) The resultant displacement of the girl is 5 blocks at $53.1 °$ (North of East).

b) The total distance travelled by the girl is 13 blocks.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Define distance and displacement

Displacement of a body is defined as the body moving from its rest position to another one. Distance is defined as the length of space between two points.

Step 2: (a) Find the resultant displacement

To distribute newspapers, the girl begins at point A and follows the course ABCD.

The resultant displacement

$AO = \sqrt{{AD}^{2} + {OD}^{2}}$

Now substitute $4.0$ for AD and $3.0$ for OD.

$AO = \sqrt{{4.0}^{2} + {3.0}^{2}} = 5$

Calculate the angle $θ$ :

$\tan θ = \frac{AD}{OD}$

Substitute 4.0 for AD and 3.0 for OD.

$\tan θ = \frac{4}{3} θ = \tan^{- 1} (\frac{4}{3}) θ = 53.1 ° (North of East)$

Here, $θ$ is the direction.

Hence, the resultant displacement of the girl is 5 blocks at $53.1 °$ (North of East).

Step 3: (b) Find the total distance she travelled

The total distance travelled.

$D = AB + BC + CO$

Substitute 3.0 for AB, 4.0 for BC and 6.0 for CO.

$D = 3.0 + 4.0 + 6.0 = 13 blocks$

Hence, the total distance travelled by the girl is 13 blocks.

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Physics For Scientists & Engineers

Answers without the blur.

Short Answer

A girl delivering newspapers covers her route by traveling $3.00$ blocks west, $6.00$ blocks north, and then $6.00$ blocks east.
(a) What is her resultant displacement?
(b) What is the total distance she travels?

Step by Step Solution

Step 1: Define distance and displacement

Step 2: (a) Find the resultant displacement

Step 3: (b) Find the total distance she travelled

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Physics For Scientists & Engineers

Answers without the blur.

Short Answer

A girl delivering newspapers covers her route by traveling 3.00 blocks west, 6.00 blocks north, and then 6.00blocks east. (a) What is her resultant displacement? (b) What is the total distance she travels?

Step by Step Solution

Step 1: Define distance and displacement

Step 2: (a) Find the resultant displacement

Step 3: (b) Find the total distance she travelled

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A girl delivering newspapers covers her route by traveling $3.00$ blocks west, $6.00$ blocks north, and then $6.00$ blocks east.
(a) What is her resultant displacement?
(b) What is the total distance she travels?