To visit your favorite ice cream shop, you must travel 460 m west on Main Street

Question

To visit your favorite ice cream shop, you must travel 460 m west on Main Street and then 990 m south on Division Street. Suppose you take 49 s to complete the 460-m displacement and 74 s to complete the 990-mdisplacement.

Part A

What is the magnitude of your average velocity during this 123-second period of time?

Express your answer to two significant figures and include appropriate units.

Part B

What is the direction of your average velocity during this 123-second period of time?

Express your answer to two significant figures.

Part C

What is your average speed during the trip?

Express your answer to two significant figures and include appropriate units.

Explanation / Answer

a)d=undrt(460^2+990^2)

=1091.6 m

t=49+74=123sec

v=d/t

=1091.6/123

=8.87m/sec--a

b)theta=tan-1(990/460)

=65.07 sec

c)D=460+990=1450m

v=1450/123

=11.7m/sec

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