Question

which best describes his run?
from time 0 to 6, he went fast and then slowed down.
from time 6 to 10, he was at his slowest.
from time 12 to 14, he went very slow.
from time 14 to 18, he went toward the starting point.

Explanation:

Step1: Analyze slope for speed

The slope of a position - time graph represents speed. A steeper slope means higher speed and a flatter slope means lower speed.

Step2: Check option 1

From time 0 to 6, the slope first increases and then decreases, which means the speed first increases and then decreases, not just going fast and then slowing down in a simple sense.

Step3: Check option 2

From time 6 to 10, the slope is not the flattest compared to other intervals, so he is not at his slowest.

Step4: Check option 3

From time 12 to 14, the slope is very small (flattest among the intervals considered), which means he went very slow.

Step5: Check option 4

From time 14 to 18, the position is increasing, so he is moving away from the starting - point, not towards it.

Answer:

From time 12 to 14, he went very slow.