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Chapter 3: Q2E (page 121)

Find the following for path B 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 m on a side.

Short Answer

Expert verified

a. The total distance traveled is 1200 m .

b. The magnitude and direction of the displacement from start to finish is 379.4 m &71.6°NE .

Step by step solution

01

Determine total distance travel

A physical quantity is a material's physical property that can be quantified, such as mass, length, etc.

1 Block = 120 m.

For path B, the total distance traveled is:

= 4 blocks + 3 blocks + 3 blocks

= 10 blocks

=10×20=1200m

Therefore, the total distance traveled by path B is 1200 m.

02

Determine the direction of displacement

The magnitude of the displacement from start to finish is:

d⇀=dx2+dy2=1Block2+3Block2

The direction of the displacement:

=1+9blocks=10blocks=10×120m=3.162×120m=379.4m

The direction of the displacement:

θ=tan-1dydx=tan-13block1block=tan-13=71.6°NE

Therefore, the magnitude and direction of the displacement from start to finish is 379.4 m & 71.6°NE.

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