Ravi told his friend that his house is $1 \,km$ toward south from the main Post Office. Express 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.

If the displacement of an object is proportional to square of time, then the object moves with

There are 5 houses on a street, $A, B, C, D$ and $E$. For all cases, assume that positions to the right are positive.

$(i)$ Draw a frame of reference with house $A$ as the origin and the positions of houses $B, C, D$ and $E$.

$(ii)$ You live in house $C.$ What is your position relative to house $E$ ?

$(iii)$ What are the positions of houses $A$ and $D$, if house $B$ is taken as the reference point ?

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

Explain the differences between the two graphs.