(a)[2]
Draw a velocity-time graph for the motion, and state the total duration for which the tram is moving.
(b)[2]
Determine $V$.
(c)[2]
Determine the magnitude of the acceleration.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A tram begins at rest and accelerates uniformly for $20\text{ s}$. It then continues at a steady speed, $V\text{ m s}^{-1}$, for $170\text{ s}$ before coming to rest under a uniform deceleration whose magnitude is twice the acceleration. The tram covers a total distance of $2.775\text{ km}$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Recognising the graph as a trapezium and noting that the deceleration is steeper than the acceleration” …
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