Projectile Motion: Calculating Vertical Component of Initial Velocity
Understanding Projectile Motion
Calculating the Vertical Component
To find the vertical component of the initial velocity of Ronnie's playground ball, we can use trigonometry. The formula to calculate the vertical component is:Vertical Component = Initial Velocity * sin(θ)
θ = 47 degrees * (π / 180) ≈ 0.820 radians
Now, we can calculate the vertical component:Vertical Component = 16 ft/s * sin(0.820 radians) ≈ 16 ft/s * 0.894 ≈ 10.99 ft/s
Therefore, the vertical component of the initial velocity is approximately 10.99 ft/s. This value represents the initial upward velocity of the ball when Ronnie kicked it.