Question

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

Answer:

it is heading towards northeast about 24 m per sec

Answer 2

Given:

Velocity of airplane= 92m/s j

Velocity of wind= 24m/s i

To find:

The resultant velocity of the airplane

Solution:

Resultant of two vectors A and W= $\sqrt{A^{2} +W^{2}+2AWcos\alpha}$ where α is the angle between the two vectors.

Substituting the value of A with 92, W with 24, and α with 90° we get:

$\sqrt{8464+576+4416X0} \\= \sqrt{8464+576} \\=\sqrt{9040} \\=95$(approximated)

The resultant velocity of airplane= 95m/s

The diagram is as follows: