Write true or false for the following statements

In one$-$dimensional motion, the average velocity and the instantaneous velocity are unequal.

The slope of the line on a position-time graph reveals information about an object's velocity. What conclusion can you draw regarding the motion of an object, if the graph is a

$(i)$ Horizontal line.

$(ii)$ Straight diagonal line.

$(iii)$ Curved line.

$(a)$ 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 body is thrown vertically upward with velocity $u$, the greatest height $h$ to which it will rise is,

From the given $v -t$ graph (Fig.), it can be inferred that the object is