wrote in message
ups.com...
Let us accelerate craft in a straight line. Let rate of aceleration be
A.

Let us now put a kink in the course. Let velocity be v craft having
accelerated for v/A seconds. Let us have a small acceleration a to the
side.

Total gain in velocity will be A-a^2/2 assuming aA

If the acceleration is transverse to the direction
of motion, it doesn't change the speed at all.

George