Final answer:
To find the minimum speed of the ball during a hole-in-one shot, we can analyze the problem as projectile motion. We can use equations of motion to determine the time taken to reach maximum height and the final speed of the ball when it reaches the bottom.
Step-by-step explanation:
To find the minimum speed of the ball during a hole-in-one shot, we can analyze the problem as a projectile motion. Given that the ball is impacted on a level surface, we can assume that the initial and final vertical velocities are the same.
Using the equation v_f = v_i + at, where v_f is the final vertical velocity, v_i is the initial vertical velocity, and a is the acceleration due to gravity, we can calculate the time it takes for the ball to reach its maximum height. Then, we can use the equation v_f = v_i + gt, where g is the acceleration due to gravity and t is the time, to find the minimum speed of the ball when it reaches the bottom.
In this case, since the ball is traveling horizontally, the initial vertical velocity is 0 m/s. Thus, the final vertical velocity is also 0 m/s. We can solve the equation v_f = v_i + at for t and substitute the known values to find the time taken to reach maximum height.
Once we have the time taken to reach maximum height, we can use the equation v_f = v_i + gt to find the minimum speed of the ball when it reaches the bottom. By substituting the known values, including the acceleration due to gravity, we can solve for the final speed.