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

$(a)$ A body moving with constant acceleration but with zero velocity.

$(b)$ A body moving horizontally with an acceleration in vertical direction.

$(c)$ A body moving with a constant velocity in an accelerated motion.

Write true or false for the following statements

A motion is said to be uniform, if $x \propto t^{2}$

The velocity-time graph of cars $A$ and $B$ which start from the same place and move along a straight road in the same direction is shown below

Calculate :

$(a)$ the acceleration of car $B$ between $2 \,s$ and $4\, s$.

$(b)$ the time at which both the cars have the same velocity.

$(c)$ the distance travelled by the two cars $A$ and $B$ in $8\, s$

$(d)$ Which of the two cars is ahead after $8\, s$ and by how much ?

What is the difference between uniform motion in a straight line and circular motion ?

A train is travelling at a speed of $90\, km h ^{-1}$. Breaks are applied so as to produce a uniform acceleration of $0.5\, m s ^{-2}$. Find how far the train will go before it is brought to rest.