Kinematics - Differentiating Displacement and Velocity

Kinematics - Differentiating Displacement and Velocity

TGM Original Questions

A particle moving in a straight line has displacement \(s\) metres from a fixed point \(O\), at time \(t\) seconds after the motion begins, given by the formula \(s = 2 \cos \left( \frac{\pi t}{4} \right)\). Find:

  1. The velocity, in m/s, of the particle when \(t=4\)
  2. The acceleration of the particle when \(t=2\)

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Answer:(a) \(0\text{ m/s}\) (b) \(0\text{ m/s}^2\)

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