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.
C. The total distance is 105 kilometers, and the total displacement is 75 kilometers east.
Answer: B. The total distance is 105 kilometers, and the total displacement is 45 kilometers east.
60 + 45 = 105 = Distance
60 - 45 = 15 = Displacement vector magnitude. The truck ended the journey 15 km from the start ! (after traveling a distance of 105 km)
distance requires a meter stick. Displacement is a vector and also requires a compass.
d = 60 + (60-15) = 105 km.
Disp. = 60-15 = 45 km.
Correction: Disp. = 15 km.
It says it stopped 15 km from A.
To find the total distance traveled by the truck, we need to add the distances covered while moving east and while moving west. The truck moves 60 kilometers east from point A to point B and then turns back west and moves 15 kilometers. Hence, the total distance is 60 + 15 = 75 kilometers.
To find the total displacement of the truck, we need to consider the difference between the initial and final positions. The truck moved 60 kilometers east to reach point B and then moved 15 kilometers west, which brings it 45 kilometers away from the starting point, still in the eastward direction. Hence, the total displacement is 45 kilometers east.
Therefore, the correct answer is B. The total distance is 105 kilometers, and the total displacement is 45 kilometers east.