Kinematics - Motion Conditions, Rest and Direction

Kinematics - Motion Conditions, Rest and Direction

TGM Original Questions

The acceleration \(a\) \(m s^{-2}\), of a moving particle is given by \(a = 2t - 3t^2\) where \(t\) is the time in seconds. Find the value of \(t\) when the particle

  1. has acceleration \(0.05\) m s\(^{-2}\),

  2. has acceleration \(-3\) m s\(^{-2}\).

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Answer:(a) \(t=\dfrac{10\pm\sqrt{85}}{30}\text{ s}\); (b) \(t=\dfrac{1+\sqrt{10}}3\text{ s}\)

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