Which of the following sets of displacements might be able to return a car to its starting point?
A) 2, 8, 10, and 25 km.
B) 5, 20, 35, and 65 km.
C) 60, 120, 180, and 240 km.
D) 100, 100, 100, and 400 km.

Question

Quizplus · Accepted Answer

For a car to return to its starting point, the total displacement in any direction must be equal to the total displacement in the opposite direction. In option C, the sum of the displacements (60 + 120 + 180 + 240 km) can be arranged such that the car moves in one direction and then back in the opposite direction for the same total distance, allowing it to return to its starting point. For example, moving 240 km in one direction and then 60, 120, and 180 km back in the opposite direction totals 360 km each way.

Which of the Following Sets of Displacements Might Be Able