Mathematics 9709 · AS & A Level · Newton's laws of motion
Newton's laws of motion — practice question
A cable pulls an elevator straight upward. The velocity-time graph for this motion is shown above.
(i)[2]
Find the distance covered by the elevator.
(ii)[2]
Find the acceleration in the first stage and the deceleration in the third stage.
(iii)[3]
The elevator has mass $800\,\text{kg}$ and a box of mass $100\,\text{kg}$ stands on the elevator floor. Find the tension in the cable for each of the three stages of the motion.
(iv)[3]
Find the greatest and least magnitudes of the force exerted on the box by the elevator floor.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Using area under velocity-time graph: $s = \tfrac12 \times 5\times0.4 + 19\times0.4 + \tfrac12 \times 4\times0.4$” …