(i)[6]
Determine the distance covered by the sprinter during the first $16\,\text{s}$ of the race. Hence sketch a displacement-time graph for the $20\,\text{s}$ duration of the sprinter’s race.
(ii)[2]
Determine the value of $V$.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A sprinter takes part in a race of $200\,\text{m}$. The total time taken to complete the race is $20\,\text{s}$. He begins from rest and speeds up uniformly for $6\,\text{s}$, reaching a speed of $12\,\text{m s}^{-1}$. He then keeps this speed for the following $10\,\text{s}$, before slowing down uniformly and crossing the finishing line with speed $V\,\text{m s}^{-1}$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Work out the distance in the first $6\text{ s}$ using $s_1 = \frac{1}{2}(0+12)\times6$” …
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