Question

An airplane pilot sets a compass course due west and maintains an air speed of 240 km/h. After flying for
h, he finds himself over a town that is 150 km west and 40 km south of his starting point. Find the wind
velocity (with respect to ground).​

Answer 1

Explanation:

Answer

d

2

=150

2

+40

2

=24100km

2

d=155km

θ=tan

−1

(

150

40

)=15

0

Velocity & pilot w.r.t ground (

v

1

)

0.5

−155

=310kmh

−1

v

2

⇒ velocity of eu

r

,v

3

→ velocity of wind w.r.t ground

v

3

=

v

1

+

v

2

=2

v

1

.

v

2

=240

2

+310

2

−2×210×310×0.9659

v

3

=100km/hr