Physics 9702 · AS & A Level · Equations of motion

Equations of motion — practice question

A stone is projected straight upwards. Fig. 2.1 shows how the displacement $s$ of the stone varies with time $t$.
(a)[2]

Describe, without calculation, how the stone’s speed changes from $t = 0$ to $t = 3.0\,\text{s}$ using Fig. 2.1.

(b(i))[3]

Assume air resistance is negligible, so the stone moves with constant acceleration. Calculate the stone’s speed at $3.0\,\text{s}$.

(b(ii))[3]

Calculate the distance covered from $t = 0$ to $t = 3.0\,\text{s}$.

(b(iii))[2]

Calculate the displacement from $t = 0$ to $t = 3.0\,\text{s}$ and state its direction.

(c)[3]

On Fig. 2.2, draw how the stone’s velocity $v$ varies with time $t$ from $t = 0$ to $t = 3.0\,\text{s}$.

(ii)[3]

the distance travelled between $t = 0$ and $t = 3.0\,\text{s}$.

(iii)[2]

the displacement from $t = 0$ to $t = 3.0\,\text{s}$. Give the direction of the displacement.

Worked solution & mark scheme

This 18-mark question has a full step-by-step worked solution and mark scheme. One marking point: speed falls / decelerates until the stone is at rest at $1.25\,\text{s}$

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