Question

1. you run from your house to a friends house that is 3 miles away. you then walk home.

a. what distance did you travel?
b. what was your displacement for the entire trip?

Explanation:

Step1: Define distance

Distance is the total length of the path traveled.

Step2: Calculate distance

You run 3 miles to the friend's house and 3 miles back home. So the distance $d=3 + 3=6$ miles.

Step3: Define displacement

Displacement is the straight - line distance from the initial to the final position.

Step4: Calculate displacement

Your initial position is your house and your final position is also your house. So the displacement $\Delta x = 0$ miles.

Answer:

a. 6 miles
b. 0 miles