SOLUTION: An arrow with mass m is shot vertically upward with and initial velocity 160 ft/sec. It is subject to both a gravitational force {{{mg}}} as well as air resistance with magnitude

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Question 947021: An arrow with mass m is shot vertically upward with and initial velocity 160 ft/sec. It is subject to both a gravitational force mg as well as air resistance with magnitude %28mv%5E2%29%2F800 where v is the arrows velocity. How high does the arrow go?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the force balance
ma=-mg-%28mv%5E2%29%2F800
a%2Bv%5E2%2F800=g
%28d2y%29%2F%28dt2%29%2B%281%2F800%29%28dy%2Fdt%29%5E2=32.2
This is a second order non-linear differential equation and needs numerical methods to get a solution.
This problem is beyond the level of this website.