$(a)$ 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.
$(a)$ 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 $=0$
Under what condition will the magnitude of the displacement be equal to the distance travelled by an object ?
Two graphs for motion of objects moving along a straight line are shown. State how the speed is changing with time in both cases.
Starting from rest at the top of an inclined plane a body reaches the bottom of the inclined plane in $4$ second. In what time does the body cover one$-$fourth the distance starting from rest at the top ?
Identify what do the graphs shown below indicate ?
Suppose a boy is enjoying a ride on a merry-go-round which is moving with a constant speed of $10\, ms^{-1}$. It implies that the boy is