Question

Reposting this question

a plane is flying north at 30 m/s. it is encountering wind blowing east at 5m/s. what is the airplane's speed?

Answer 1

30.41 m/s

Step-by-step explanation:

To solve this problem, we can use vector addition. We can represent the velocity of the plane as a vector pointing north with a magnitude of 30 m/s, and the velocity of the wind as a vector pointing east with a magnitude of 5 m/s.

The speed of the airplane is the magnitude of the resultant vector, which is the vector sum of the velocity of the plane and the velocity of the wind. To find the magnitude of the resultant vector, we can use the Pythagorean theorem:

magnitude of resultant vector = sqrt((30 m/s)^2 + (5 m/s)^2) = sqrt(900 m^2/s^2 + 25 m^2/s^2) = sqrt(925 m^2/s^2) = 30.41 m/s

Therefore, the speed of the airplane is approximately 30.41 m/s.