The velocity-time graph (Fig.) shows the motion of a cyclist. Find $(i)$ its acceleration $(ii)$ its velocity and $(iii)$ the distance covered by the cyclist in $15\,s$.

There are $5$ houses on a street,$A, B, C, D$ and $E$. For all cases,assume that positions to the right are positive.
$(i)$ Draw a frame of reference with house $A$ as the origin and the positions of houses $B, C, D$ and $E$.
$(ii)$ You live in house $C$. What is your position relative to house $E$?
$(iii)$ What are the positions of houses $A$ and $D$,if house $B$ is taken as the reference point?

$A$ motorcyclist drives from $A$ to $B$ with a uniform speed of $30\, km\, h^{-1}$ and returns back with a speed of $20\, km\, h^{-1}$. Find its average speed (in $km\, h^{-1}$).

Two cars moving in opposite directions cover the same distance $d$ in one hour. If the cars were moving in a north-south direction,what will be their displacement in one hour?

$A$ person travelling in a bus noted the timings and the corresponding distances as indicated on the km stones. $(a)$ Name this type of table. $(b)$ What conclusion do you draw from this data?

Time	Distance
$8.00\, am$	$10\, km$
$8.15\, am$	$20\, km$
$8.30\, am$	$30\, km$
$8.45\, am$	$40\, km$
$9.00\, am$	$50\, km$

$A$ cyclist driving at $36 \, km \, h^{-1}$ stops his cycle in $2 \, s$ by the application of brakes. Calculate $(i)$ retardation $(ii)$ distance covered during the application of brakes.