$(a)$ 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?

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(N/A) body is said to be in uniform circular motion if it moves along a circular path with a constant speed.
$(b)$ Given:
Time $(t) = 4 \text{ minutes} = 4 \times 60 = 240 \text{ s}$
Diameter $(d) = 420 \text{ m}$
Radius $(r) = d / 2 = 420 / 2 = 210 \text{ m}$
Total distance $(S)$ covered in one revolution $= 2 \pi r = 2 \times (22 / 7) \times 210 = 1320 \text{ m}$
Speed $(v) = \text{Distance} / \text{Time} = 1320 / 240 = 5.5 \text{ m s}^{-1}$
$(c)$ The velocity$-$time graph for uniform motion along a straight line is a straight line parallel to the time axis. The area under the velocity$-$time graph gives the distance covered by an object.

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$A$ 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?
TimeDistance
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$(a)$ Which type of motion is represented by the velocity-time graph shown below?
$(b)$ Name the physical quantity which can be calculated by the area of rectangle $OABC$.
$(c)$ What does the straight line $AB$ represent?

State whether the following statement is true or false:
$A$ motion is said to be uniform if $x \propto t^{2}$.

What can you conclude about the motion of a body depicted by the velocity-time graphs $(i)$,$(ii)$ and $(iii)$ given below?

Study the speed-time graph of a body given below and answer the following questions:
$(i)$ What type of motion is represented by $OA$,$AB$ and $BC$?
(ii) Find positive and negative accelerations of the body.
(iii) Find the distance travelled by the body from $A$ to $B$.

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