Two velocity vectors, one is twice of the other, and separated by 90 Degree angle. If their resultant is calculated 90 m/s, what the magnitude of bigger vector?

Vy = 80.5 [m/s]

Explanation:

In order to solve this problem we must use the Pythagorean theorem.

V = 90 [m/s]

The components are Vx and Vy:

Therefore:

where:

Vy = 2*Vx ; because one is twice of the other.

and the bigger vector is:

Vy = 40.25*2

Vy = 80.5 [m/s]

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it is called kinetic energy