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## Homework Statement

A motorist drives south at 24.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 3.00 min, and finally travels northwest at 30.0 m/s for 1.00 min. For this 7.00 min trip, find the following values.

a. Total vector displacement displacement

b. Average speed

c. average velocity

## Homework Equations

## The Attempt at a Solution

a. Δr=24m/s(180s)south+25m/s(180s)west+30m/s(60s)north west

=4320m(-j)+4500m(-i)+1272.8(-i)+1272.8j

**Would this "j" be positive or negative?**

=-5772.8i-3047.208

square root ((-5772.8)^2+(-3047.208)^2)=6527.680

θ=tan-1(3047.208/5772.8) or would it be tan-1(3047.208/5772.8)

=27

b. average speed=4320+4500+1800

1062/7(1/60)=

25.286

c. Would the average velocity direction be the same as the one from part a?

Thank you very much