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

Kinematics of motion in a straight line — practice question

A car is initially at rest, then accelerates at $2\,\text{m}\,\text{s}^{-2}$ for $10\,\text{s}$. It then continues at a steady speed for $30\,\text{s}$. After that, the car decelerates uniformly until it comes to rest over $20\,\text{s}$.
(a)[2]

Sketch a velocity-time graph showing the car’s motion.

(b)[2]

Find the car’s total distance travelled.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: A trapezium on the $t$-axis, beginning at $(0,0)

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