A particle is moving with velocity `v=100m s^(-1)`. If one of the rectangular components of a velocity is `50m s^(-1)`. Find the other component of velocity and its angle with the given component of velocity.

Explanation

To solve the problem step by step, we will use the Pythagorean theorem and trigonometric relationships.

### Step 1: Understand the components of velocity
The velocity of the particle is given as \( v = 100 \, \text{m/s} \). One of the rectangular components of this velocity is given as \( v_x = 50 \, \text{m/s} \). We need to find the other component of velocity, which we will denote as \( v_y \).

### Step 2: Apply the Pythagorean theorem
Since the components of velocity are perpendicular to each other, we can use the Pythagorean theorem:
\[
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