Question

(b) An aeroplane is flying towards the east in still air at 92m/s. A wind starts to blow at 24 m/s towards the north. Draw a vector diagram to find the resultant velocity of the aeroplane. Use a scale of 1.0 cm = 10 m/s.

Answer 1

Given:

An aeroplane is flying towards the east in still air at 92 m/s.

The wind blows at 24 m/s towards the north.

To find: The vector diagram to find the resultant velocity of the aeroplane.

Step-by-step explanation:

The vector diagram is shown below:

Each box is equal to 2 cm = 20 m/s

R is the resultant vector.

The magnitude of the resultant is

`\begin{gathered} R=\sqrt[]{(24)^2+(92)^2} \\ =95.08\text{ m/s} \end{gathered}`

The angle of the resultant that makes with the horizontal is

`\begin{gathered} \theta=\tan ^(-1)((24)/(92)) \\ =14.6^(\circ) \end{gathered}`