Physics 5054 · O Level · Motion

Motion — practice question

A student determines the acceleration of free-fall $g$ by dropping a metal ball from a height of 1.000 m onto the floor and timing the interval $t$ taken to reach it. Fig. 1.1 shows the ball together with a metre rule held vertically in a clamp.
(a)[1]

On Fig. 1.1, draw the position of the ball at the moment it is released.

(b(i))[2]

Calculate $t_{av}$, the mean value of $t$. Give your answer to two decimal places.

(b(ii))[1]

Suggest why the value for $t_{av}$ is not stated to more than two decimal places.

(c(i))[1]

The acceleration due to free-fall $g$ is given by the equation $g = \frac{2h}{t_{av}^2}$, where $h = 1.000\,\text{m}$. Calculate a value for $g$.

(c(ii))[2]

Another student suggests that, to obtain a more accurate value for $g$, the ball should be released from a height greater than 1.000 m. Explain why this student is correct.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Lowest point of the ball shown level with the zero mark on the ruler

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