Question

1. order each action from the least to the greatest displacement. (1) a person driving 50 miles one way and 48 miles back in the direction they came (2) a marathon runner running 15 miles in one direction (3) a jogger running 2 miles and back (4) a bus driving 3 miles between its first and second stops in the same direction (5) a walker strolling 1.5 miles from their starting position

Explanation:

Step1: Define displacement

Displacement is the straight - line distance from the starting point to the ending point.

Step2: Calculate displacement for (1)

A person drives 50 miles one - way and 48 miles back. Displacement is $|50 - 48|=2$ miles.

Step3: Calculate displacement for (2)

A marathon runner runs 15 miles in one direction. Displacement is 15 miles.

Step4: Calculate displacement for (3)

A jogger runs 2 miles and back. Displacement is 0 miles.

Step5: Calculate displacement for (4)

A bus drives 3 miles between its first and second stops in the same direction. Displacement is 3 miles.

Step6: Calculate displacement for (5)

A walker strolls 1.5 miles from their starting position. Displacement is 1.5 miles.

Step7: Order displacements

$0<1.5 < 2<3 < 15$, so $3 < 5 < 1 < 4 < 2$ (where 3 corresponds to jogger, 5 to walker, 1 to driver, 4 to bus, 2 to marathon runner). The correct order from least to greatest displacement is $4 < 3 < 2 < 5 < 1$.

Answer:

C. $4 < 3 < 2 < 5 < 1$