bom,
i don’t think you’re interpreting newton’s third law of motion correctly. it’s true that every action produces an equal and opposite reaction. but the words action and reaction are referring to forces, not accelerations. if i hold up a golf ball and drop it, the mutual gravitation force exerted on the golf ball and the earth is the same. however, the golf ball’s acceleration towards the earth is much, much greater than the earth’s acceleration towards the golf ball, since the golf ball is much, much less massive than the earth. remember, F = ma. the F is the same for both the golf ball and the earth, but since the m’s are very different, so are the a’s.
when a golf club collides with a golf ball, forces are generated due to the impact. these impact forces are very complicated and are generally greater when the relative velocities of the objects are greater. so, again the impact forces exerted on the golf club is the same as the impact forces exerted on the golf ball (just in opposite directions). however, this does not mean that the accelerations due to these impact forces are the same, since the masses are different.
cp,
i had the same thought about zeno’s arrow paradox upon reading bom’s reply. if i may, though, i’d like to make a subtle but important point about your statement that deceleration is the effect of the reaction.
if the golf club is moving at a constant velocity (i.e. zero acceleration), then i agree with you that it must decelerate (i.e. slow down) due to the impact forces. however, if the golf club is accelerating upon impact, this need not be the case. the impact forces may just lessen the acceleration. deceleration is not the same thing as decreasing acceleration. deceleration means slowing down. an object can continue to accelerate (i.e. continue to speed up) even if its acceleration becomes less.
if you have a fast sports car that does 0 to 60 in 5 seconds and i have a car that only does 0 to 60 in 8 seconds, and we both floor it, your acceleration will be greater than mine, but we’ll both be accelerating. furthermore, you can ease up on the gas and still be accelerating, it just won’t be as much.
so the question of whether it’s possible to accelerate through the golf ball–through impact–depends on this: how much force can be sustained (or possibly be ever increased) on the golf club by a master golfer? and how does this force compare with the impact forces of collision with the golf ball, when traveling at speeds between say 90 mph and 120 mph? i don’t know the answers to these questions.
william