Escape Velocity and Integrated Acceleration
Most recent answer: 09/30/2016
- Bob Shueey (age 40)
Hastings, NE, USA
Your reasoning makes sense except for one error: " the sum total of the acceleration felt by the bullet over an infinite time span should be an infinite series of (incredibly tiny) finite terms, which should add up to an infinite amount of acceleration." The sums of infinite series of positive terms do not have to come out infinite. Think of, for example, 1/2+1/4+1/8+1/16.... Each new term just takes you half-way toward 1 from the previous value. So the limit is obviously 1, not infinity.
(published on 09/30/2016)