Question

A helicopter travels with an air speed of 55 m/s. The helicopter heads in the direction [ 35 ∘

N of W]. What is its velocity relative to the ground if the wind velocity is (a) 21 m/s [E] and (b) 21 m/s[22 ∘
W of N] ?

Answer 1

The velocity of the helicopter relative to the ground can be found using vector addition.

Step-by-step explanation:

To find the velocity of the helicopter relative to the ground, we need to use vector addition. We can use the law of cosines to find the magnitude of the resultant velocity and the law of sines to find the direction of the resultant velocity.

(a) When the wind velocity is 21 m/s [E], the resultant velocity of the helicopter relative to the ground is approximately 65.708 m/s at an angle of 57.47 degrees north of west.

(b) When the wind velocity is 21 m/s [22 degrees W of N], the resultant velocity of the helicopter relative to the ground is approximately 45.511 m/s at an angle of 38.023 degrees north of west.