Question

If vx = 3 meters/second and vy = 4 meters/second, what is the magnitude of the resultant velocity?

Answer 1

The resultant is the vector sum of two or more vectors. It is the result of adding two or more vectors together. We use the pythagorean theorem for this case. We do as follows:

vR^2 = vx^2 + vy^2
vR = √3^2 + 4^2
vR = 5 m/s

Answer 2

5m/s

Step-by-step explanation:

Resultant is defined as the single velocity/forces that balances all other velocities/forces acting on a body. It is also defined as the vector sum of the vectors acting on a body.

Given two vectors in the x and y direction i.e Vx = 3m/s Vy = 4m/s

The formula of the resultant of both vectors will be;

R²= Vx² + Vy²

Where R is the resultant vector

R²= 3²+4²

R²=9+16

R²=25

R=√25

R=5m/s

Therefore, the magnitude of the resultant velocity is 5m/s