What is motion?

$A$ car moves with a speed of $60 \, km/h$ for $1 \, h$ in the east direction and with the same speed for $30 \, min$ in the south direction. The displacement of the car from the initial position is ......... $km$.

The position of a particle along the $x$-axis at time $t$ is given by $x = 2 + t - 3t^2$. The displacement and the distance travelled in the interval $t = 0$ to $t = 1$ are respectively:

Distinguish between path length and displacement.

What is mechanics? Give definitions of its sub-branches.

In which of the following examples of motion can the body be considered approximately a point object:
$(a)$ $A$ railway carriage moving without jerks between two stations.
$(b)$ $A$ monkey sitting on top of a man cycling smoothly on a circular track.
$(c)$ $A$ spinning cricket ball that turns sharply on hitting the ground.
$(d)$ $A$ tumbling beaker that has slipped off the edge of a table.