Imagine your are extremely athletic. You leave your house (x = 0mi) and run 12 m

Question

Imagine your are extremely athletic. You leave your house (x = 0mi) and run 12 miles due north in 2 hours. Then you run due south at 10 miles per hour for 1 hour and 45 minutes. Then you run 10 miles due north at 4 miles per hour. ( North is positive)

Whta is the velocity vector for the first leg of your trip?

What is the displacement vector for the second leg of the trip?

What is your position vector at the end of the second leg of the trip?

How long did the third leg of the trip take?

What is your position vector at the end of your trip?

What is the displacement vector for the entire trip?

What is the distance traveled for the entire trip?

What is the average velocity for the trip?

What is the average speed for the trip?

Explanation / Answer

a) velocity vector = 12/2 = 6miles/hour

b) you will run for 17.5 miles towards south, displacement vector = -5.5 miles

c) position vector = -5.5 miles south from the house

d) time = 2.5 hours

e) position vector = 4.5 miles north from house

f) displacement vector = + 4.5 miles

g) distance = 39.5 miles

h) average velocity = + 0.72 miles /hour

i)average speed = 6.32 miles/ hour

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