Kyle is flying a helicopter at 125 m/s on a heading of 325 o . If a wind is blowing at 25 m/s toward a direction of 240.0 o , what is the craft's resultant velocity?

The resultant velocity of the helicopter is .

Explanation:

Physically speaking, the resulting velocity of the helicopter (), measured in meters per second, is equal to the absolute velocity of the wind (), measured in meters per second, plus the velocity of the helicopter relative to wind (), also call velocity at still air, measured in meters per second. That is:

(1)

In addition, vectors in rectangular form are defined by the following expression:

(2)

Where:

- Magnitude, measured in meters per second.

- Direction angle, measured in sexagesimal degrees.

Then, (1) is expanded by applying (2):

(3)

If we know that , , and , then the resulting velocity of the helicopter is:

The resultant velocity of the helicopter is .