document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #577824 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Look at the force balance
\n" ); document.write( " $\"ma=-mg-%28mv%5E2%29%2F800\"$
\n" ); document.write( " $\"a%2Bv%5E2%2F800=g\"$
\n" ); document.write( " $\"%28d2y%29%2F%28dt2%29%2B%281%2F800%29%28dy%2Fdt%29%5E2=32.2\"$
\n" ); document.write( "This is a second order non-linear differential equation and needs numerical methods to get a solution.
\n" ); document.write( "This problem is beyond the level of this website.
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