Moderate

The area under a velocity time graph represents

Correct answer: B. displacement

  • A. acceleration
  • B. displacement
  • C. force
  • D. power

Explanation

Multiplying velocity by time gives displacement, so the area under the curve accumulates it, with area below the axis counting as negative. The gradient of the same graph gives acceleration. On a displacement time graph, by contrast, it is the gradient that gives velocity and the area has no useful meaning.

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About Displacement and Velocity

Displacement is the directed change in position, while velocity is the rate of change of displacement and includes both magnitude and direction. The topic connects position-time and velocity-time graphs with average and instantaneous values, and distinguishes displacement from distance and velocity from speed.

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