Final answer:
The vertical component of velocity for a ball hit at a 45° angle with a speed of 20.0m/s is calculated using trigonometry to be 14.14 m/s.
Step-by-step explanation:
The question asks about the vertical component of velocity for a ball hit by a golfer at a 45° angle with a given speed. To find the vertical component, we use the initial speed and the angle of projection. Since the speed is 20.0 m/s and the angle is 45°, we calculate the vertical component (Vy) by using the sine function:
Vy = V × sin(θ) = 20.0 m/s × sin(45°)
Given that sin(45°) is √2/2, we can solve for Vy:
Vy = 20.0 m/s × (√2/2) = 14.14 m/s
Therefore, the vertical component of the velocity is 14.14 m/s.