$(a)$ 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 $=0$
Mention the nature of motion of a body if its displacement$-$time graph is a straight line parallel to time axis.
Under what conditions of motion, the distance covered by a body is equal to the magnitude of its displacement ?
The velocity$-$time graph of a body has a negative slope. The body is undergoing
What does the slope of velocity$-$time graph represent ?
$(a)$ Define circular motion.
$(b)$ "Uniform circular motion is an accelerated motion". Justify this statement with reason.
$(c)$ An artificial satellite is moving in a circular orbit of radius $42250\, km.$ Calculate its speed if it takes $24$ hours to revolve once around the earth.