Question

11

The pilot directs the aircraft to fly due north at 600km/h. A side-wind blows at
100km/h towards the east. What will be the aircraft's resultant velocity? (Give both its
speed and direction)

Answer 1

Step-by-step explanation:

Given that,

The pilot directs the aircraft to fly due north at 600km/h.

A side-wind blows at 100km/h towards the east.

We need to find the aircraft's resultant velocity. et it be v. It can be calculated as follows :

`v=√(600^2+100^2) \\\\v=608.27\ m/s`

For direction,

`\tan\theta=(600)/(100)\\\\\tan\theta=6\\\\\theta=\tan^(-1)(6)\\\\\theta=80.53^(\circ)`

So, the aircraft's resultant velocity is 608.27 km/h and it is at and angle of 80.53°.