What is the relation between distance and time:
$(i)$ when a body is moving with uniform velocity?
$(ii)$ when a body is moving with variable velocity?

Differentiate between distance and displacement.

$A$ car starts from rest and moves along the $x-$ axis with constant acceleration $5\, ms^{-2}$ for $8\, s$. If it then continues with constant velocity,what distance will the car cover in $12\, s$ since it started from the rest (in $m$)?

The average time taken by a normal person to react to an emergency is $1/15$ of a second and is called the 'reaction time'. If a bus is moving with a velocity of $60 \, km/h$ and its driver sees a child running across the road,how much distance would the bus have moved before he could press the brakes? The reaction time of the people increases when they are intoxicated. How much distance would the bus have moved if the reaction time of the driver were $1/2 \, s$ under the influence of alcohol?

Ravi told his friend that his house is $1 \,km$ toward south from the main Post Office. Express the displacement and the distance moved by the friend from the Post Office when he arrives at Ravi's house. Mention the reference point chosen by you.

What is the numerical ratio of average velocity to average speed of an object when it is moving along a straight path?