document.write( "Question 1093126: A rock is tossed straight up with initial velocity of 10 feet per second from atop a balcony 30 ft above the ground. The height of the rock is given by the equation h(t) = -16t^2 + 10t + 30 at a time t seconds after the rock was tossed. How many seconds pass before the rock is 20 feet above ground? \n" ); document.write( "
Algebra.Com's Answer #707722 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Since the rock is tossed from a height above
\n" ); document.write( "20 ft, then the rock will be falling at 20 ft
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\n" ); document.write( "\"+h%28t%29+=+-16t%5E2+%2B+10t+%2B+30+\"
\n" ); document.write( "\"+20+=+-16t%5E2+%2B+10t+%2B+30+\"
\n" ); document.write( "\"+-16t%5E2+%2B+10t+%2B+10+=+0+\"
\n" ); document.write( "\"+-8t%5E2+%2B+5t+%2B+5+=+0+\"
\n" ); document.write( "Use quadratic formula
\n" ); document.write( "\"+t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+-8+\"
\n" ); document.write( "\"+b+=+5+\"
\n" ); document.write( "\"+c+=+5+\"
\n" ); document.write( "\"+t+=+%28-5+%2B-+sqrt%28+5%5E2-4%2A%28-8%29%2A5+%29%29%2F%282%2A%28-8%29%29+\"
\n" ); document.write( "\"+t+=+%28-5+-+sqrt%28+25+-%28+-160+%29+%29+%29+%2F+%28-16%29+\"
\n" ); document.write( "\"+t+=+%28+-5+-+sqrt%28+185+%29+%29+%2F+%28-16%29+\"
\n" ); document.write( "\"+t+=+%28+-5+-+13.601+%29+%2F+%28-16%29+\"
\n" ); document.write( "\"+t+=+18.601%2F16+\"
\n" ); document.write( "\"+t+=+1.163+\" sec
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\n" ); document.write( "check answer:
\n" ); document.write( "here's the plot:
\n" ); document.write( "\"+graph%28+400%2C400%2C+-1%2C3%2C+-5%2C40%2C+-16x%5E2+%2B+10x+%2B+30+%29+\"
\n" ); document.write( "Looks about right\r
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