A student walks $8.0 \mathrm{km}$ southeast and then $12 \mathrm{km}$ due west.

Draw a vector diagram showing the route. Use your diagram to find the total displacement.

Calculate the resultant displacement. Show your working clearly.

A swimmer can swim at $2.0 {\mathrm{ms}}^{-1}$in still water .she aims to swim directly across a river that is flowing at $0.8 {\mathrm{ms}}^{-1}$. Calculate his resultant velocity. ( You must give both magnitude and direction.)

A stone is thrown from a cliff and strike the surface of the sea with a vertical velocity of $18 {\mathrm{ms}}^{-1}$ and a horizontal velocity $v$. The resultant of these two velocities is $25 {\mathrm{ms}}^{-1}$. Draw a vector diagram showing the two velocities and the resultant.

A stone is thrown from a cliff and strike the surface of the sea with a vertical velocity of $18 {\mathrm{ms}}^{-1}$ and a horizontal velocity $v$. The resultant of these two velocities is $25 {\mathrm{ms}}^{-1}$. Draw a vector diagram showing the two velocities and the resultant. Use your diagram to find the value of $\mathrm{v}$.

A stone is thrown from a cliff and strike the surface of the sea with a vertical velocity of $18 {\mathrm{ms}}^{-1}$ and a horizontal velocity $v$. The resultant of these two velocities is $25 {\mathrm{ms}}^{-1}$. Draw a vector diagram showing the two velocities and the resultant. Use your diagram to find the angle between the stone and the vertical as it strikes the water.