Posted by: Jack Mankin (MrBatSpeed@aol.com) on Thu Oct 21 16:00:36 2004

>>> Of course, this is the case.

I was merely identifying a contradiction in Jack's previous statements. In his Oct 4 response to Bruce he indicates "bat-head acceleration is exponential rather than linear in nature" with the analogous "acceleration of a dragster is also exponential rather than linear in nature". This suggests rate of velocity change is of power >2 (and possibly increasing):

If c=constant, and vi=0, then vf is:

If a=c, vf=ct
a=ct, vf=ct*t = ct^2
a=ct^(>1), vf=ct^(>1)*t = ct^(>2)

He today indicates bat forces applied are constant. If so, bat-head acceleration IS constant, since bat mass does not change (F=ma). <<<

Hi Mike

Tom’s example with gravity should have proved to you that with a constant applied force, the increase in bat velocity is exponential. (F=ma ) also applies to gravity. As the force of gravity remains constant, the velocity of the falling mass increases exponentially.

Jack Mankin