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 $15\,s$.

State whether the following statement is true or false:
$A$ motion is said to be uniform if a body undergoes equal displacements in equal intervals of time.

What does the odometer of an automobile measure? Which of the following is moving faster? Justify your answer.
$(i)$ $A$ scooter moving with a speed of $300 \, m$ per minute.
$(ii)$ $A$ car moving with a speed of $36 \, km$ per hour.

$A$ body thrown in the vertically upward direction rises up to a height $h$ and comes back to the position of its start. Calculate: $(a)$ the total distance travelled by the body and $(b)$ the displacement of the body. Under what condition will the magnitude of the displacement be equal to the distance travelled by an object?

$A$ person is running along a circular path in a park.
$(a)$ At what point does he change his direction while running?
$(b)$ If he covers half of the circular path,what will be his displacement? Draw a diagram showing it.

Define acceleration. State a relationship connecting $u, v, a$ and $t$ for an accelerated motion. Give an example of a motion in which acceleration is uniform.