(a)[1]
Sketch the velocity-time graph showing the car’s motion.
(b)[3]
Determine the value of $a$.
(c)[3]
Determine the total time for which the car is moving.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A car begins at rest and travels in a straight line with constant acceleration $a\,\text{m s}^{-2}$ over a distance of $50\,\text{m}$. It then moves at constant velocity for $500\,\text{m}$ in $25\,\text{s}$, before slowing to rest. The deceleration magnitude is $2a\,\text{m s}^{-2}$.
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