document.write( "Question 92924: I am having problems with this word problem. \r
\n" ); document.write( "\n" ); document.write( "The height h in feet of an object after t seconds is given by the function
\n" ); document.write( "h=-16t^2+60t+9
\n" ); document.write( "How long will it take the object to hit the ground. Round to the nearest thousandth.
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Algebra.Com's Answer #67619 by psbhowmick(878)\"\" \"About 
You can put this solution on YOUR website!
When the object will reach ground, then h = 0.
\n" ); document.write( "So \"-16t%5E2+%2B+60t+%2B+9+=+0\"
\n" ); document.write( "\"16t%5E2+-+60t+-+9+=+0\"\r
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\n" ); document.write( "\n" ); document.write( "Comparing with the standard form \"ax%5E2+%2B+bx+%2B+c+=+0\", here a = 16, b = -60, c = -9.
\n" ); document.write( "From Sreedharacharya's formula
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"t+=+%28-%28-60%29+%2B-+sqrt%28+%28-60%29%5E2-4%2A16%2A%28-9%29+%29%29%2F%282%2A16%29+\" [substituting the values of a, ,b & c]
\n" ); document.write( "\"t+=+%2860+%2B-+sqrt%28+3600%2B576+%29%29%2F32+\"
\n" ); document.write( "\"t+=+%2860+%2B-+64.622%29%2F32+\"
\n" ); document.write( "\"t+=+3.894\" or \"t+=+-0.145\"\r
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\n" ); document.write( "\n" ); document.write( "But \"t\" is time and hence cannot be negative.
\n" ); document.write( "So the object will reach ground after \"t+=+3.894\" seconds.
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