Calculating Horizontal and Vertical Components of Initial Velocity
What are the horizontal and vertical components of the initial velocity when a football is kicked at an angle of 30 degrees with the horizontal and has an initial velocity of 20m/s?
The horizontal and vertical components of the initial velocity are 17.32 m/s and 10 m/s, respectively.Calculating Horizontal Component
The horizontal component is calculated using the formula:
Vx = V * cos(theta)
Where:
Vx = horizontal component of velocity
V = initial velocity (20 m/s)
theta = angle with the horizontal (30 degrees)
By substituting the given values into the formula, we get:
Vx = 20 m/s * cos(30°)
Vx = 20 m/s * ≈0.866
Vx = 17.32 m/s
Calculating Vertical Component
The vertical component is calculated using the formula:
Vy = V * sin(theta)
Where:
Vy = vertical component of velocity
V = initial velocity (20 m/s)
theta = angle with the horizontal (30 degrees)
By substituting the given values into the formula, we get:
Vy = 20 m/s * sin(30°)
Vy = 20 m/s * ≈0.5
Vy = 10 m/s
Therefore, the horizontal component of the initial velocity is 17.32 m/s and the vertical component is 10 m/s.