Question

A person driving through a field has velocity components that are 30 m/s west and 20 m/s south. What is the magnitude of the overall velocity?

Answer 1

Magnitude of the overall velocity = 36.06 m/s

Step-by-step explanation:

30 m/s West in vector form = -(30î) m/s

20 m/s South in vector form = -(20j) m/s

The overall velocity = (- 30î - 20j) m/s

Magnitude of the velocity (x,y) = √(x² + y²)

Magnitude of the velocity = √((-30)² + (-20)²) = 36.06 m/s