Question

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 relation

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

Point A is at the maximum of the velocity - time graph and point B is at the minimum of the velocity - time graph. At these points, the slope of the tangent to the curve is zero.

Answer:

The accelerations at A and B are each zero.