Asked in PMC Practice Test 29 (2021) 2021Moderate

If displacement-time graph is a curve, which of the following is correct:

Correct answer: D. gradient of the tangent of graph represents velocity

  • A. area under graph represent displacement
  • B. gradient of the graph is constant
  • C. gradient of the tangent of graph represents acceleration
  • D. gradient of the tangent of graph represents velocity

Explanation

If displacement time graph is a curve then the gradient of the tangent of the graph represents velocity because v = x/t

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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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