# What are the horizontal and vertical components of the initial velocity?

What is the initial velocity of Austin as he kicks a soccer ball at an angle of 35.0° with an initial velocity of 18.0 m/s?

The horizontal and vertical components of the initial velocity can be calculated as follows: - Horizontal component (Vx) = 14.74 m/s - Vertical component (Vy) = 10.32 m/s

## Calculation of Horizontal and Vertical Components of Initial Velocity

**Horizontal Component:**The horizontal component of the initial velocity (Vx) can be calculated using the formula Vx = Vcos∅, where V is the initial velocity and ∅ is the angle to the horizontal. From the given data: V = 18.0 m/s, ∅ = 35.0°. Substitute the values into the formula: Vx = 18(cos35.0°) Vx = 18(0.819) Vx ≈ 14.74 m/s. Therefore, the horizontal component of the initial velocity is approximately 14.74 m/s.

**Vertical Component:**The vertical component of the initial velocity (Vy) can be calculated using the formula Vy = Vsin∅. Substitute the given values into the formula: Vy = 18(sin35°) Vy ≈ 10.32 m/s. Hence, the vertical component of the initial velocity is approximately 10.32 m/s. In summary, Austin kicks a soccer ball with a horizontal component of 14.74 m/s and a vertical component of 10.32 m/s at an angle of 35.0° with an initial velocity of 18.0 m/s.