Kinematics - Differentiating Displacement and Velocity

Kinematics - Differentiating Displacement and Velocity

TGM Original Questions

A particle travels in a straight line such that, \(t\) seconds after passing a fixed point \(O\), its displacement, \(s\) metres is given by \(s = 13t^{2} - 8t\).

  1. Find an expression for the velocity \(v\) m/s,
  2. Find the velocity at \(t = 5\)s

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Answer:(a) \(v=26t-8\text{ m s}^{-1}\); (b) \(122\text{ m s}^{-1}\)

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