Question

which graph best represents the motion of an object whose speed is increasing? (1 point)

Explanation:

Step1: Recall speed - distance - time relation

Speed is the rate of change of distance with respect to time. On a distance - time graph, the slope of the graph represents speed.

Step2: Analyze each graph

• First graph: It has a constant slope, so speed is constant.
• Second graph: The slope is increasing with time. As slope represents speed, an increasing slope means increasing speed.
• Third graph: It has a negative constant slope, so speed is constant but in the opposite direction.
• Fourth graph: The slope is decreasing with time, so speed is decreasing.

Answer:

The second graph (the one with an upward - curving shape where the slope is increasing as time progresses)