To determine the vertical component of the initial speed of the ball, we need to find the vertical component of the initial velocity.
The vertical component of velocity can be calculated using the formula:
Vertical component of velocity = Initial velocity * sin(angle)
In this case, the initial velocity is 25 m/s, and the angle above the horizontal is 53 degrees.
Let's calculate the vertical component of the initial speed:
Vertical component of velocity = 25 m/s * sin(53 degrees)
Using a scientific calculator or trigonometric table, we find that sin(53 degrees) is approximately 0.7986.
Vertical component of velocity = 25 m/s * 0.7986
Vertical component of velocity ≈ 19.965 m/s
Therefore, the vertical component of the initial speed of the ball is approximately 19.965 m/s.