Question

the position - time graph describes the motion of a moving object. describe the motion represented by each segment of the graph. not moving constant velocity positive acceleration negative acceleration position (m) 80 60 40 20 a b c d e f

Explanation:

Step1: Analyze segment AB

The position - time graph is a horizontal line. Slope of position - time graph gives velocity. Since slope $m = 0$, the object is not moving.

Step2: Analyze segment BC

The graph is a curved upward - sloping line. The slope (velocity) is increasing. Since the rate of change of velocity (acceleration) is positive, there is positive acceleration.

Step3: Analyze segment CD

The graph is a straight upward - sloping line. The slope is constant, so the object has a constant velocity.

Step4: Analyze segment DE

The graph is a horizontal line. Slope is 0, so the object is not moving.

Step5: Analyze segment EF

The graph is a curved upward - sloping line. The slope (velocity) is increasing, so there is positive acceleration.

Answer:

AB: not moving
BC: positive acceleration
CD: constant velocity
DE: not moving
EF: positive acceleration