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

Kinematics of motion in a straight line — practice question

A bus starts from rest and accelerates uniformly for $12\ \text{s}$. It then continues at constant speed for $30\ \text{s}$ before slowing down uniformly to rest over a further $6\ \text{s}$. The total distance covered is $585\ \text{m}$.
(a)[2]

Determine the constant speed of the bus.

(b)[1]

Determine the magnitude of the deceleration.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use constant acceleration equations or the area under a $v$-$t$ graph to form an equation in $V$, e.g. $6V + 30V + 3V = 585$ or $0.5(30+48)V=585$

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