A cyclist driving at $5\, m s ^{-1}$ picks a velocity of $10\, m s ^{-1}$ over a distance of $50\, m$. Calculate $(i)$ acceleration $(ii)$ time in which the cyclist picks up the above velocity.

A motor bike running at $5\, m s ^{-1}$, picks up a velocity of $30\, m s ^{-1}$ in $5\, s$. Calculate $(i)$ acceleration $(ii)$ distance covered during acceleration.

The graph given below is the distance$-$time graph of an object.

$(i)$ Find the speed of the object during first four seconds of its journey.

$(ii)$ How long was it stationary ?

$(iii)$ Does it represent a real life situation ? Justify your answer.

$(a)$ Define acceleration.

$(b)$ A stone describes a circular path with a constant speed. State the type of motion of the stone.

If the displacement$-$time graph for a particle is parallel to time axis, what is the velocity of the particle ?