$A$ 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 $m$)?

When is the acceleration $(i)$ positive and $(ii)$ negative?

An object starting from rest travels $20 \, m$ in the first $2 \, s$ and $160 \, m$ in the next $4 \, s$. What will be the velocity after $7 \, s$ from the start (in $, m/s$)?

Differentiate between distance and displacement.

Study the speed-time graph of a body given below and answer the following questions:
$(i)$ What type of motion is represented by $OA$,$AB$ and $BC$?
(ii) Find positive and negative accelerations of the body.
(iii) Find the distance travelled by the body from $A$ to $B$.

$A$ motor car slows down from $72 \ km \ h^{-1}$ to $36 \ km \ h^{-1}$ over a distance of $25 \ m$. If the brakes are applied with the same force,calculate $(i)$ total time in which the car comes to rest,and $(ii)$ total distance travelled by it until it comes to rest.