document.write( "Question 1061683: Im having problems with a discussion board question and need help. this is for Math 111 and I am completely lost. the question is as followed:\r
\n" ); document.write( "\n" ); document.write( "If we assume that air resistance is proportional to the square of the velocity, then the time t in seconds required for an object to reach a velocity v in feet per second is given by:\r
\n" ); document.write( "\n" ); document.write( " t=9/24ln 24+v/24-v, 0 ≤ v < 24\r
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\n" ); document.write( "\n" ); document.write( "determine the velocity, to the nearest hundredth foot per second of the object after 1.3 seconds \n" ); document.write( "
Algebra.Com's Answer #676450 by Boreal(15235)\"\" \"About 
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If I assume it is 9/(24ln24); if it is (9/24)ln 24, then the first term is 1.192
\n" ); document.write( "That is 3/(8 ln 24)
\n" ); document.write( "That equals 0.1180
\n" ); document.write( "1.3=0.1180+v/24-v
\n" ); document.write( "1.182=v/24-v
\n" ); document.write( "multiply by 24 both sides
\n" ); document.write( "28.368=v-24v
\n" ); document.write( "-23v=28.368
\n" ); document.write( "v=-1.23 ft/sec. This is negative, which could be allowed since the velocity is downward, but it is too slow. So, let me look at the last term as v/(24-v)
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\n" ); document.write( "If the last term is (v/(24-v))
\n" ); document.write( "Then 1.182=v/(24-v)
\n" ); document.write( "multiply through by (24-v)
\n" ); document.write( "28.368-1.182v=v
\n" ); document.write( "28.368=2.182v
\n" ); document.write( "v=13.00 ft/sec, a positive result and one that makes sense given the velocity of a falling object is without friction 16 ft/sec. \n" ); document.write( "
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