State whether the following statement is true or false:
$A$ body is said to be at rest if it does not change its position with respect to its reference point.

Can the distance travelled by a particle be zero when displacement is not zero?

Mohan and Virender were discussing the following problem: $A$ boy kicks a football high into the air. He runs and catches the football before it hits the ground. Which of the two,the boy or the football,has had greater displacement? Mohan was of the opinion that the football has travelled into the air and back,while the boy and the ball have covered the same displacement. Virender told him that it is not true. Both of them discussed and sorted the matter between them.
$(a)$ Who do you think is right,Mohan or Virender?
$(b)$ What are the values you see in Raman?

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?

Can the displacement of a particle be zero when the distance travelled is not zero?

State whether the following statement is true or false:
Motion along a curved line is called translatory or rectilinear motion.