Particle instantaneously at rest

A question is this type if and only if the task requires finding the time(s) when both components of the velocity vector are simultaneously zero, or showing/finding the position when the particle comes to instantaneous rest.

1 questions · Moderate -0.3

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Edexcel M2 2020 June Q5
10 marks Moderate -0.3
5. At time \(t\) seconds ( \(t \geqslant 0\) ), a particle \(P\) has velocity \(\mathbf { v m ~ s } ^ { - 1 }\), where $$\mathbf { v } = \left( 3 t ^ { 2 } - 9 t + 6 \right) \mathbf { i } + \left( t ^ { 2 } + t - 6 \right) \mathbf { j }$$
  1. Find the acceleration of \(P\) when \(t = 3\) When \(t = 0 , P\) is at the fixed point \(O\).
    The particle comes to instantaneous rest at the point \(A\).
  2. Find the distance \(O A\).