Physics 9702 · AS & A Level · Equations of motion

Equations of motion — practice question

(a)[1]

Define acceleration in physics.

(b(i))[1]

Calculate the initial horizontal component $v_x$ of the ball’s velocity.

(b(ii))[2]

Show that the ball’s initial vertical component $v_y$ is $8.5\,\text{m s}^{-1}$.

(b(iii))[2]

Calculate the time taken for the ball to reach its highest point above the ground.

(b(iv))[2]

The ball is kicked at $t = 0$. On Fig. 2.2, sketch how the vertical component $v_y$ of the ball’s velocity varies with time $t$ until it strikes the wall. You may assume that upwards velocity is positive.

(c(i))[2]

Determine the ball’s maximum height above the ground using the information in (b).

(c(ii))[2]

The ball’s maximum gravitational potential energy above the ground is $22\,\text{J}$. Calculate the mass of the ball.

(d)[1]

A ball with a larger mass is kicked at the same velocity as the ball in (b). State and explain what effect, if any, the increased mass has on the maximum height reached by the ball. Air resistance is still assumed to be negligible.

Worked solution & mark scheme

This 13-mark question has a full step-by-step worked solution and mark scheme. One marking point: Rate at which velocity changes OR change in velocity per unit time

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