$(a)$ A car moving with uniform velocity $'u^{\prime}$ and uniform acceleration $'a^{\prime}$ covers a distance $'S^{\prime}$ in time $'t^{\prime}$. Draw its velocity $-$ time graph and derive an expression relating all the given physical quantities.

$(b)$ A boy revolves a stone tied to a string $0.7 \,m$ long. Find the distance and displacement covered by the stone in completing two revolutions from starting point.

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$(a)$ See long answer type questions.

$(b)$ Given $r=0.7 m ,$ Distance $=?$, Displacement $=?$

Distance $=2 \times 2 \pi r=2 \times 2 \times 3.14 \times 0.7$

$=8.792 m$

Displacement $=0$

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