Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

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Short Answer

Find the following for path A in Figure,
(a) the total distance traveled, and
(b) the magnitude and direction of the displacement from start to finish.
The various lines represent paths taken by different people walking in a city. All blocks are 120 m on a side.

a. The total distance traveled is 480 m.

b. The magnitude and direction of the displacement from start to finish is 379.4 m & $71 . 6^{°} N E$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Vector definition

A vector is a quantity that has both magnitude and direction. Displacement, velocity, force, torque, and other vector quantities are examples.

Step 2: Determine the total distance

a) Block = 120 m

For path A, the total distance traveled is:

$= 4 blocks = 4 \times 120 m = 480 m$

Therefore the total distance traveled by path A is 480 m.

Step 3: Determine the direction of displacement

b) The magnitude of the displacement from start to finish is:

$|\overset{⇀}{d}| = \sqrt{{d_{x}}^{2} + {d_{y}}^{2}} = \sqrt{{(1 b l o c k)}^{2} + {(3 b l o c k)}^{2}}$

$\begin{array}{rcl} |\overset{⇀}{d}| & = & \sqrt{1 + 9} blocks \\ = & \sqrt{10} blocks \\ = & \sqrt{10} \times 120 m \\ = & 3.162 \times 120 m \\ = & 379.4 m \end{array}$

The direction of the displacement:

$\begin{array}{rcl} θ & = & \tan^{- 1} (\frac{dy}{dx}) \\ = & \tan^{- 1} \frac{3 block}{1 block} \\ = & \tan^{- 1} (3) \\ = & 71 . 6^{°} NE \end{array}$

Therefore the magnitude and direction of the displacement from start to finish is 379.4 m & $71 . 6^{°} N E$

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College Physics (Urone)

Answers without the blur.

Short Answer

Find the following for path A in Figure,
(a) the total distance traveled, and
(b) the magnitude and direction of the displacement from start to finish.
The various lines represent paths taken by different people walking in a city. All blocks are 120 m on a side.

Step by Step Solution

Step 1: Vector definition

Step 2: Determine the total distance

Step 3: Determine the direction of displacement

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College Physics (Urone)

Answers without the blur.

Short Answer

Find the following for path A in Figure,(a) the total distance traveled, and (b) the magnitude and direction of the displacement from start to finish.The various lines represent paths taken by different people walking in a city. All blocks are 120 m on a side.

Step by Step Solution

Step 1: Vector definition

Step 2: Determine the total distance

Step 3: Determine the direction of displacement

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Find the following for path A in Figure,
(a) the total distance traveled, and
(b) the magnitude and direction of the displacement from start to finish.
The various lines represent paths taken by different people walking in a city. All blocks are 120 m on a side.