The change in velocity for a given time interval can be interpreted as
A)the area under the v-versus-t curve for that interval.
B)the area under the x-versus-t curve for that interval.
C)the area under the a-versus-t curve for that interval.
D)the slope of the a-versus-t curve.
E)None of these is correct.

Question

Quizplus · Accepted Answer

The change in velocity is represented by the area under the acceleration-versus-time curve (a-versus-t) for a given time interval, as given by the equation ∆v = ∫a dt. Option A is incorrect as it represents the change in displacement for a given time interval, and option B represents the total displacement. Option D is the slope of the a-versus-t curve, which gives the rate of change of acceleration, and not the change in velocity. Therefore, the correct answer is option C.

The Change in Velocity for a Given Time Interval Can