Physics 9702 · AS & A Level · Non-uniform motion

Non-uniform motion — practice question

The way the velocity $v$ of a ball varies with time $t$ is shown in Fig.~2.1. The ball travels along a straight line from point $P$ at $t = 0$. The ball has a mass of $400\,\text{g}$.
(a)[2]

Use Fig.~2.1 to describe, without calculation, how the velocity of the ball changes from $t = 0$ to $t = 16\,\text{s}$.

(b(i))[2]

Use Fig.~2.1 to calculate, for the ball, the displacement from $P$ at $t = 10\,\text{s}$.

(b(ii))[2]

Use Fig.~2.1 to calculate, for the ball, the acceleration at $t = 10\,\text{s}$.

(b(iii))[2]

Use Fig.~2.1 to calculate, for the ball, the maximum kinetic energy.

(c)[2]

Use your answers in (b)(i) and (b)(ii) to determine the time from $t = 0$ for the ball to return to $P$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Constant increase in velocity at a steady rate (acceleration) from $t=0$ to $t=8\,\text{s}$

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