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

Kinematics of motion in a straight line — practice question

A car begins from rest and travels in a straight line with constant acceleration over a distance of $200\,\text{m}$, arriving at a speed of $25\,\text{m s}^{-1}$. It then continues at this same speed for $400\,\text{m}$, before slowing down uniformly to rest in $5\,\text{s}$.
(a)[2]

Determine the time for which the car is accelerating.

(b)[2]

Draw the velocity-time graph for the car’s motion, marking the key points.

(c)[2]

Determine the car’s average speed during the motion.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply $s=\frac{u+v}{2}t$ or another complete method to determine $t$, for example $v^2=u^2+2as$ followed by $v=u+at$.

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