Kinematics - Differentiating Displacement and Velocity

Kinematics - Differentiating Displacement and Velocity

TGM Original Questions

A particle moving in a straight line has a displacement, \(t\) seconds after passing a fixed point \(O\), given by the formula \(s = te^{-0.2t}\). 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) \(0.2e^{-0.8}\text{ m/s}=0.0899\text{ m/s}\) (b) \(-0.32e^{-0.4}\text{ m/s}^2=-0.215\text{ m/s}^2\)

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