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

What is the average velocity of a particle when it returns to the starting point? Can its average speed be zero?

Derive the following equations for a uniformly accelerated motion:
$(i)$ $v = u + at$
$(ii)$ $S = ut + \frac{1}{2}at^2$
$(iii)$ $v^2 - u^2 = 2aS$, where the symbols have their usual meanings.

$A$ cyclist travels a distance of $4\, km$ from $P$ to $Q$ and then moves a distance of $3\, km$ at a right angle to $PQ$. Find his resultant displacement graphically.

Define distance and displacement. $A$ body covers one complete revolution around a circular park of circumference $176 \, m$ in $4$ minutes. Find the displacement of the body after $6$ minutes.

$A$ hiker rides $700\, m$ north,$300\, m$ east,$400\, m$ north,$600\, m$ west,$1200\, m$ south,$300\, m$ east,and finally $100\, m$ north. Draw the path of motion of the hiker. What distance did he cover? What was his displacement?