A bus decreases its speed from $80\, km\, h ^{-1}$ to $60 \,km\, h ^{-1}$ in $5\, s$. Find the acceleration(in $m / s ^{2}$) of the bus.

A stone is thrown in a vertically upward direction with a velocity of $5\, m s^{-1}$. If the acceleration of the stone during its motion is $10\, m s^{-2}$ in the downward direction, what will be the height attained by the stone and how much time will it take to reach there ?

State which of the following situations are possible and give an example for each of these:

$(a)$ an object with a constant acceleration but with zero velocity

$(b)$ an object moving with an acceleration but with uniform speed.

$(c)$ an object moving in a certain direction with an acceleration in the perpendicular direction.

A driver of a car travelling at $52\, km\, h^{-1}$ applies the brakes and accelerates uniformly in the opposite direction. The car stops in $5\, s$. Another driver going at $3 \,km \,h^{-1}$ in another car applies his brakes slowly and stops in $10\, s$. On the same graph paper, plot the speed versus time graphs for the two cars. Which of the two cars travelled farther after the brakes were applied ?

What is the quantity which is measured by the area occupied below the velocity-time graph ?