The slope of the acceleration vs.time curve represents
A)the velocity.
B)the rate of change of acceleration.
C)the rate of change of displacement.
D)the area under the position vs.time curve.

Question

Quizplus · Accepted Answer

The slope of the acceleration vs. time curve represents the rate of change of acceleration. This is because acceleration is the rate of change of velocity, and the slope of the acceleration vs. time curve represents how quickly the acceleration is changing over time. Option A is incorrect because velocity is represented by the slope of the position vs. time curve, not the acceleration vs. time curve. Option C is incorrect because the rate of change of displacement is represented by the slope of the velocity vs. time curve, not the acceleration vs. time curve. Option D is incorrect because the area under the position vs. time curve represents displacement, not acceleration.

The Slope of the Acceleration Vs.time Curve Represents