To find the vertical component of the initial speed of the ball, we need to determine the vertical velocity component (Vy).
The vertical and horizontal components of the initial velocity can be determined using trigonometry. Given that the initial velocity (V) is 25 m/s and the angle (θ) is 53 degrees above the horizontal, we can use the following equations:
Vy = V * sin(θ)
Here, sin(θ) represents the sine of the angle θ.
Plugging in the values:
Vy = 25 m/s * sin(53°)
Using a calculator, we can evaluate sin(53°) to be approximately 0.7986.
Vy ≈ 25 m/s * 0.7986
Vy ≈ 19.965 m/s
Therefore, the vertical component of the initial speed of the ball is approximately 19.965 m/s.