A body moves with a velocity of $2\, m s ^{-1}$ for $5\, s$, then its velocity increases uniformly to $10\, m s ^{-1}$ in next $5\, s.$ Thereafter, its velocity begins to decrease at a uniform rate until it comes to rest after $5\, s$.

$(i)$ Plot a velocity-time graph for the motion of the body.

$(ii)$ From the graph, find the total distance covered by the body after $2\, s$ and $12\, s$.

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 does the object possess ?

What do you understand by the displacement$-$time graph ? Draw a displacement-time graph for a girl going to school with uniform velocity. How can we calculate the uniform velocity from it ?

A motor bike running at $90 \,km h ^{-1}$, is slowed down to $54 \,km h^{-1}$ by the application of brakes, over a distance of $40\, m$. If the brakes are applied with the same force, calculate $(i)$ total time in which bike comes to rest $(ii)$ total distance travelled by bike.

Define velocity.