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

Kinematics of motion in a straight line — practice question

A particle travels along a straight line. When $t\text{ s}$, its acceleration, $a\text{ m s}^{-2}$, is given by $a = 36 - 6t$. The particle’s velocity is $27\text{ m s}^{-1}$ at $t = 2$.
(a)[4]

Find the times at which the particle is instantaneously at rest.

(b)[4]

Find the total distance the particle covers in the first $12$ seconds.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Tries to integrate acceleration $a$ to obtain velocity $v$

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