The numerical ratio of displacement to distance for a moving object is

Under what condition will the displacement and distance have the same magnitude ?

The distance$-$time graph of two trains are given below. The trains start simultaneously in the same direction.

$(i)$ How much ahead of $A$ is $B$ when the motion starts ?

$(ii)$ What is the speed of $B$ ?

$(iii)$ When and where $A$ will catch $B$ ?

$(iv)$ What is the difference between the speeds of $A$ and $B$ ?

$(v)$ Is the speed of either trains uniform or non uniform ? Justify your answer.

The brakes applied to a car produce an acceleration of $6\, m s ^{-2}$ in the opposite direction of motion. If the car takes $2\, s$ to stop after the application of the brakes, calculate the distance it travels during this time.

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.