What is motion? Mention different types of motions.

$A$ balloon is moving up in air vertically above a point $A$ on the ground. When it is at a height $h_{1}$,a girl standing at a distance $d$ (point $B$) from $A$ sees it at an angle $45^{\circ}$ with respect to the vertical. When the balloon climbs up a further height $h_{2}$,it is seen at an angle $60^{\circ}$ with respect to the vertical if the girl moves further by a distance $2.464d$ (point $C$). Then the height $h_{2}$ is (given $\tan 30^{\circ} = 0.5774$):

An airplane flies $400 \,m$ north and $300 \,m$ south and flies $1200 \,m$ upwards,then the net displacement is (in $\,m$)

When is an object said to be in motion?

Define and explain displacement.

Explain with an example that the magnitude of displacement may be zero but the corresponding path length is not zero.