Question

select the correct answer.
a truck moves 60 kilometers east from point a to point b. at point b, it turns back west and stops 15 kilometers away from point a. what are the total distance and total displacement of the truck?
a. the total distance is 105 kilometers, and the total displacement is 15 kilometers east.
b. the total distance is 105 kilometers, and the total displacement is 45 kilometers east.
c. the total distance is 60 kilometers, and the total displacement is 60 kilometers east.
d. the total distance is 60 kilometers, and the total displacement is 45 kilometers east.
e. the total distance is 105 kilometers, and the total displacement is 75 kilometers east.

Explanation:

Step1: Calculate total distance

First, find the distance traveled west: the truck went 60 km east to B, then traveled west until it was 15 km east of A. So westward distance = $60 - 15 = 45$ km. Total distance = east distance + west distance: $60 + 45 = 105$ km.

Step2: Calculate total displacement

Displacement is the straight-line distance from start (A) to final position, with direction. The truck ends 15 km east of A, so displacement is 15 km east.

Answer:

A. The total distance is 105 kilometers, and the total displacement is 15 kilometers east.