On the moon the acceleration due to gravity is about 1/6 that on earth. if a golfer on the moon impacted the same initial velocity to the ball as she does on the earth, how much further with the ball go?

6 times further

Explanation:

Initial velocity is the same that she uses on earth vertically and horizontally

Vertically we can say

V = -g t

If g is 1/6 earth gravity, then t is 6 times earth time.

Then, horizontally, with the same initial time, no incidence of gravity and knowing t

X= v t

Distance in the moon is 6 times distance in the earth.