To find the horizontal component of velocity at the maximum height of a tennis ball projectile, we can break down the initial velocity into its horizontal and vertical components.
Given: Initial velocity (v₀) = 20 m/s Launch angle (θ) = 30 degrees
The horizontal component of velocity (vₓ) remains constant throughout the ball's motion, as there are no horizontal forces acting on it (assuming negligible air resistance). The formula to find the horizontal component is:
vₓ = v₀ * cos(θ)
Substituting the given values into the equation:
vₓ = 20 m/s * cos(30 degrees) vₓ = 20 m/s * (√3 / 2) vₓ = 20 m/s * 0.866 vₓ ≈ 17.32 m/s
Therefore, the horizontal component of velocity at the maximum height (R) is approximately 17.32 m/s.