Question

the graph shows the velocity of a moving train over time. during which two intervals of time was the train moving with a constant, positive acceleration? a. 0 - 5 minutes and 10 - 15 minutes b. 5 - 10 minutes and 15 - 25 minutes c. 10 - 15 minutes and 25 - 30 minutes d. 15 - 20 minutes and 30 - 35 minutes

Explanation:

Step1: Recall acceleration - velocity relationship

Acceleration is the rate of change of velocity. On a velocity - time graph, constant positive acceleration is shown by a straight - line segment with a positive slope.

Step2: Analyze the graph

In the 0 - 5 minutes interval, the velocity is increasing linearly, so there is a constant positive acceleration. In the 10 - 15 minutes interval, the velocity is also increasing linearly, indicating a constant positive acceleration. In the 5 - 10 minutes and 15 - 25 minutes intervals, the velocity is constant (slope = 0, so acceleration = 0). In the 25 - 30 minutes and 30 - 35 minutes intervals, the velocity is decreasing (negative slope, so negative acceleration).

Answer:

A. 0 - 5 minutes and 10 - 15 minutes