An airplane has an air speed of 90.2 m/s and flies due north, but the wind blows from the northeast to the southwest at 36.5 m/s. What is the plane’s actual ground speed?

Respuesta :

Answer:

To find the plane's ground speed, you can use vector addition. The plane's ground speed is the resultant vector of its airspeed and the wind speed.

Let's denote the airspeed as A (90.2 m/s) and the wind speed as W (36.5 m/s). The ground speed (G) is given by the vector sum:

\[ G = \sqrt{A^2 + W^2} \]

Substitute the values to find the ground speed.