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

$(a)$ Derive graphically the equation for velocity$-$time relation.
$(b)$ Name the device used to measure distance travelled by a vehicle.
$(c)$ Can displacement of a moving object be zero? Give reason.

The following graph describes the motion of a girl going to meet her friend who stays $50 \ m$ from her house.
$(i)$ How much time does she take to reach her friend's house?
$(ii)$ What is the distance travelled by the girl during the time-interval $0$ to $12$ minutes?
$(iii)$ During which time-interval is she moving towards her house?
$(iv)$ For how many minutes was she at rest during the entire journey?
$(v)$ Calculate the speed by which she returned home.

$A$ car is moving on a straight road with uniform acceleration. The following table gives the speed of the car at various instants of time.

Time $(s)$	$0$	$10$	$20$	$30$	$40$	$50$
Speed $(m s^{-1})$	$5$	$10$	$15$	$20$	$25$	$30$

$(i)$ Draw the speed-time graph representing the above set of observations.
$(ii)$ Find the acceleration of the car.

Can you suggest the kind of motion of a body from the following distance-time graphs?

There is an argument about uniform acceleration between $Mr. X$ and $Mr. Y$. $Mr. X$ says,"acceleration means that the farther you go, the faster you go". $Mr. Y$ says,"acceleration means that the longer you go, the faster you go". Whose statement is correct?