A student stays at her initial position for a bit of time, then walks slowly in a straight line for a while, then stops to rest awhile and finally runs quickly back to her initial position along a straight line.

Required:

Draw displacement versus time plots best represents the student's trip?

The first interval is walked slowly, this is a straight line with a small slope

Second interval stops, which gives a horizontal line, indicating the same position

Third interval, walk back, straight downhill

Explanation:

In this problem we have a uniform movement, this means that the acceleration in each intervals

x = v t

The first interval is walked slowly, this is a straight line with a small slope

Second interval stops, which gives a horizontal line, indicating the same position

Third interval, walk back, straight downhill