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| Teaching Since: | May 2017 |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
1. A gun is fired straight up. Assuming that the air drag on the bullet varies quadratically with speed, show that the speed varies with height according to the equations
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in which A and B are constants of integration, g is the acceleration of gravity, and k = c2/m where c2 is the drag constant and m is the mass of the bullet. (Note: x is measured positive upward, and the gravitational force is assumed to be constant.)
2. Use the above result to show that, when the bullet hits the ground on its return, the speed is equal to the expression

(This result allows one to find the fraction of the initial kinetic energy lost through air friction.)
Â
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