The change in displacement for a given time interval can be interpreted as
A)the area under the x-versus-t curve for that interval.
B)the area under the a-versus-t curve for that interval.
C)the slope of the v-versus-t curve.
D)the area under the v-versus-t curve for that interval.
E)the slope of the a-versus-t curve.

Question

Quizplus · Accepted Answer

The change in displacement for a given time interval can be found by calculating the area under the velocity (v) versus time (t) curve for that interval using the formula: displacement = area under the curve. Therefore, option D is the correct choice. Option A is incorrect because it gives the interpretation for finding the displacement itself, not the change in displacement. Option B is incorrect because it gives the interpretation for finding the change in velocity, not the change in displacement. Option C is incorrect because it gives the interpretation for finding the instantaneous velocity, not the change in displacement. Option E is incorrect because it gives the interpretation for finding the instantaneous acceleration, not the change in displacement.

The Change in Displacement for a Given Time Interval Can