A golfer gives a ball a maximum initial speed of 51.1 m/s.

Question

1) ALREADY DONE: What is the longest possible hole-in-one for this golfer? Neglect any distance the ball might roll on the green and assume that the tee and the green are at the same level.

R=266 m

2)What is the minimum speed of the ball during this hole-in-one shot?

Answer 1

I can see that you understand that 45° is the optimal angle, and I assume you know how to calculate the coordinates of the ball as a function of time.

The initial kinetic energy of the ball is converted during the flight into its potential energy.

Its maximum potential energy is at the half point.

So calculate its maximum height, which will tell you the maximum potential energy, and hence maximum loss of speed.