Most of us are aware of the general concept that the harder you hit something, the farther it usually travels. (let us suppose we are neglecting any air resistance and friction that happens) And from Newton, we have gotten the general formula $F=ma$ where force equals mass times acceleration.
Physics plays a big role in the sport of golf as well. And after thinking, I have been wondering which ball would travel farther. Suppose two golfers each hit a golf ball such that:
Golfer #1 hits the ball with a 10.5° driver of mass $m$ and hits the ball with a horizontal velocity $2v$
Golfer #2 hits the ball with a 10.5° driver of mass $2m$ and hits the ball with a horizontal velocity $v$
My question is which ball travels further horizontally? Or do they travel the same horizontal distance? Or is there not enough given information to tell?
I have tried figuring it out myself but haven't had any luck. I feel that acceleration is involved somewhere to link force to velocity (because acceleration is the derivative of velocity) but I'm not sure if this is the right approach.