Question

question 9
in the graph above, how does the acceleration at a compare with the acceleration at b?
the acceleration at a is positive and less than the acceleration at b.
the acceleration at b is positive and less than the acceleration at a.
the accelerations at a and b cannot be determined.
the accelerations at a and b are each zero.

Explanation:

Step1: Recall acceleration - slope relationship

Acceleration is the slope of a velocity - time graph. At a maximum or minimum point of a velocity - time graph, the slope is zero.

Step2: Analyze points A and B

Points A and B are maximum and minimum points respectively on the given graph. So the slope of the graph at these points is zero, which means acceleration is zero at both points.

Answer:

The accelerations at A and B are each zero.