The easterly and northerly components of a car’s velocity are 24 m/s and 30 m/s, respectively.?

Question

In what direction and with what speed is the car moving? In other words, what is car’s velocity. Hint: this question requires input from Trigonometry for the right angle triangle.
Thus, the car was moving with the velocity of 38 m/s [E510N] (or, to the north of due east).

Answer 1

By the Pythagorean theorem, the magnitude of velocity is sqrt(24^2 + 30^2) = 38.4 m/s. The angle, north of east, is arctan(30/24) = 51.3 degrees.