Question

match each description of an objects motion with the position - time graph that represents it. not moving moving with constant speed speeding up slowing down

Explanation:

Step1: Analyze not moving

When an object is not moving, its position does not change with time. So the position - time graph is a horizontal line.

Step2: Analyze moving with constant speed

The speed is the slope of the position - time graph. For constant speed, the slope is constant, so the graph is a straight line.

Step3: Analyze speeding up

When an object is speeding up, the slope of the position - time graph is increasing. So the graph is a curve that gets steeper.

Step4: Analyze slowing down

When an object is slowing down, the slope of the position - time graph is decreasing. So the graph is a curve that gets less steep.

Answer:

• not moving: horizontal line graph
• moving with constant speed: straight - line graph
• speeding up: curve getting steeper
• slowing down: curve getting less steep