Physics 9702 · AS & A Level · Equations of motion

Equations of motion — practice question

(a)[1]

Define the term velocity.

(b(i))[3]

Determine the rock's height above the planet's surface at time $t = 4.0\,\text{s}$.

(b)

A rock of mass $7.5\,\text{kg}$ is thrown vertically upwards from a planet's surface. It leaves the surface at a speed of $4.0\,\text{m s}^{-1}$ at time $t = 0$. The way the velocity $v$ of the rock varies with time $t$ is shown in Fig. 1.1. Assume that the planet has no atmosphere and that the viscous force on the rock is always zero.

(b(ii))[2]

Determine the change in momentum of the rock from $t = 0$ to $t = 4.0\,\text{s}$.

(b(iii))[2]

Determine the weight $W$ for the rock on this planet.

(c)[2]

In reality, the planet in (b) has an atmosphere, so a viscous force acts on the moving rock. State and explain how, if at all, the resultant force on the rock varies as it moves vertically upwards.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: change in displacement per time taken

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