Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line

Kinematics of motion in a straight line — practice question

Particle $P$ travels along a straight line. It leaves point $O$ from rest, and after $t$ s from leaving $O$ its acceleration is $a\text{ m s}^{-2}$, with $a = 6t - 18$.
(main)[6]

Determine the distance $P$ travels before it is instantaneously at rest.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Try integrating the acceleration to get $v = 3t^2 - 18t + C$

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