A particle starts from rest at $O$ and moves in a straight line with its acceleration, \(a\,ms^{-2

Question

A particle starts from rest at $O$ and moves in a straight line with its acceleration, $a\,ms^{-2}$, given by the equation $a = 6 - 3t$, where $t$ seconds is the time after leaving a fixed point $O$. The particle comes to instantaneous rest at a point $A$. Find the time taken for the particle to reach $A$, The distance $OA$ The maximum speed of the particle during its motion from $O$ to $A$.

Accepted Answer

(a) $4\text{ s}$; (b) $16\text{ m}$; (c) $6\text{ m s}^{-1}$

Kinematics - Velocity from Acceleration

Kinematics - Velocity from Acceleration

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