From a velocity-time (v-t) graph, the displacement during an interval is represented by:
Choose the correct answer
The slope of the graph
The area under the v-t curve during that interval
The ordinate (velocity) at a point
The rate of change of slope
Correct Answer
B. The area under the v-t curve during that interval
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From v-t graph: acceleration a = slope = dv/dt; displacement s = area under v-t curve = integral of v dt. From a-t graph: velocity = area under a-t curve. From s-t graph: velocity = slope. These graphical interpretations are fundamental to kinematics. For constant acceleration: s = v0t + at^2/2 (area of trapezoid).
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