You walk $3.0 \mathrm{km}$ due north and then $4.0 \mathrm{km}$due east. Make a scale drawing of your walk, and use it to find your final displacement. Remember to give both the magnitude and the direction.

Check your answer by calculating your displacement.

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.Remember to give the scale on your diagram and to give the direction as well as the magnitude of your answer.

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.