Final answer:
To find the initial velocity of the golf ball, you can use the equations of horizontal and vertical motion to calculate the time it takes for the ball to fall from the table to the floor. Then you can use that time to find the initial velocity.
Step-by-step explanation:
To find the initial velocity of the golf ball, we can use the equation for horizontal motion:
d = v*t
where d is the horizontal distance, v is the initial velocity, and t is the time.
In this case, the horizontal distance is 1.52 m and the time is unknown. We can find the time using the equation for vertical motion:
h = (1/2)g*t^2
where h is the vertical distance, g is the acceleration due to gravity, and t is the time. The vertical distance is equal to the height of the table, 1.22 m.
By rearranging this equation and solving for t, we can find the time it takes for the ball to fall from the table to the floor. Then we can use that time in the equation for horizontal motion to find the initial velocity.