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

Kinematics of motion in a straight line — practice question

A lift starts from rest and increases its speed upwards at $0.9\,\text{m s}^{-2}$ for $3\,\text{s}$. It then continues for $6\,\text{s}$ at a steady speed and, after that, slows with a constant deceleration until it stops in another $4\,\text{s}$.
(i)[3]

Sketch a velocity-time graph to represent the motion.

(ii)[2]

Find how far the lift travels in total.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Recognition that the graph is trapezium-shaped

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