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

Explanation:

Step1: Recall position - time graph properties

The slope of a position - time graph gives velocity and the curvature (change in slope) gives acceleration.

Step2: Analyze segment DE

The position is constant during segment DE. So the velocity is zero, which means the object is not moving.

Step3: Analyze segment CD

The slope of the position - time graph for segment CD is constant. A constant slope implies a constant velocity.

Step4: Analyze segment EF

The slope of the position - time graph for segment EF is increasing. An increasing slope means the velocity is increasing, so there is positive acceleration.

Answer:

Segment CD: constant velocity
Segment DE: not moving
Segment EF: positive acceleration