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

Kinematics of motion in a straight line — practice question

A particle moves along the straight line $PQ$. Its velocity $t$ s after leaving $P$ is $v$ m s$^{-1}$, where $v = 4.5 + 4t - 0.5t^2$. The particle is instantaneously at rest at $Q$.
(a)[3]

Find the velocity of the particle at the instant when its acceleration is zero.

(b)[6]

Find the distance along $PQ$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: $a = 4 - t$ (from differentiation)

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