Define distance and displacement. A body covers one complete revolution around a circular park of circumference $176 \,m$ in $4$ minutes. Find the displacement of the body after $6$ minutes.

The velocity$-$time graph of a body has a negative slope. The body is undergoing

How can you find the following ?

$(i)$ Velocity from a displacement$-$time graph.

$(ii)$ Acceleration from velocity$-$time graph.

$(iii)$ Displacement from velocity$-$time graph.

$(iv)$ Velocity from acceleration$-$time graph.

An object starts a linear motion with velocity $'u^{\prime}$ and with uniform acceleration ' $a^{\prime}$, it acquires a velocity $'v^{\prime}$ in timet

$(a)$ Draw its velocity$-$time graph.

$(b)$ Obtain Ist equation of motion, $v=u+a t,$ for velocity $-$ time relation by using velocity$-$time graph.

$(c)$ A body moving with a velocity of $2\, m s ^{-1}$ acquires a velocity of $10 \,m s ^{-1}$ in $5\, s$. Find its acceleration.

A train starting from rest picks up a speed of $10\, m s ^{-1}$ in $100\, s$. It continues to move at the same speed for the next $250\, s$. It is then brought to rest in the nert $50\, s$. Plot a speed$-$time graph for the entire motion of the train.

$(i)$ acceleration of the train while accelerating,

$(ii)$ retardation of the train while retarding,

$(iii)$ and the total distance covered by the train.