Distinguish between the terms distance and displacement.

$A$ 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 $, m$)

Draw a velocity versus time graph of a stone thrown vertically upwards and then coming downwards after attaining the maximum height.

$A$ body is moving with a velocity of $10 \, m s^{-1}$. If the motion is uniform,what will be its velocity after $10 \, s$ (in $, m s^{-1}$)?

State whether the following statement is true or false:
Acceleration is defined as the rate of change of velocity.

$A$ circular cycle track has a circumference of $314 \ m$ with $AB$ as one of its diameters. $A$ cyclist travels from $A$ to $B$ along the circular path with a velocity of constant magnitude $15.7 \ m s^{-1}$. Find the:
$(a)$ distance moved by the cyclist.
$(b)$ displacement of the cyclist,if $AB$ represents the north-south direction.
$(c)$ the average velocity of the cyclist.