Will a golf ball travel farther than any other golf ball when hit by a golf club if the golf ball bounces higher than the other golf balls when dropped from the same distance?
Yes, theoretically.
The golf ball's rate of transferring energy (in this case
elastic) is dependent on its COR (coefficient of restitution) -
which is basically a rate of how rigid the shell is.
In simple words, yes. The golf ball that bounces higher than
other golf balls is bouncier than the other golf balls. If you hit
a rubber ball with a golf club, the ball should travel farther than
all the regular golf balls.