$A$ train is travelling at a speed of $90\, km\, h^{-1}$. Brakes 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. (in $, m$)

How can you find the following?
$(i)$ Velocity from a displacement-time graph.
$(ii)$ Acceleration from a velocity-time graph.
$(iii)$ Displacement from a velocity-time graph.
$(iv)$ Velocity from an acceleration-time graph.

All buses and cars these days are fitted with a speedometer,which shows the velocity of the vehicle. $A$ device called odometer records the distance moved by the vehicle. If the reading on the odometer of a vehicle in the beginning of a trip and after $40 \text{ minutes}$ were $1048 \text{ km}$ and $1096 \text{ km}$ respectively,calculate its average velocity. Will the reading on the speedometer show this velocity when the vehicle is moving? Support your answer with reason.

An object is dropped from rest at a height of $150 \, m$ and simultaneously another object is dropped from rest at a height of $100 \, m$. What is the difference in their heights after $2 \, s$ if both objects drop with the same acceleration? How does the difference in heights vary with time?

Suppose a boy is enjoying a ride on a merry-go-round which is moving with a constant speed of $10 \, ms^{-1}$. It implies that the boy is

If the displacement of a body is proportional to the square of the time elapsed,what type of motion does the body possess?