Name the physical quantities denoted by:
$(i)$ The slope of the distance$-$time graph.
$(ii)$ The area under a velocity$-$time graph.
$(iii)$ The slope of a velocity$-$time graph.

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

An object is moving with uniform speed in a circle of radius $7 \, m$. Calculate the distance and displacement when it completes half the circle. What type of motion does the object possess?

$A$ moving body is covering a distance directly proportional to the square of time. The acceleration of the body is

$(a)$ Define uniform circular motion.
$(b)$ Ram goes for a morning walk in a circular park daily. He completes one revolution of the park in $4$ minutes. Find his speed if the diameter of the park is $420\, m$.
$(c)$ Draw velocity$-$time graph for uniform motion along a straight line. How can you find the distance covered by a body from this graph?

$(a)$ Define uniform circular motion.
$(b)$ Is the uniform circular motion an accelerated motion? Give reasons for your answer.