document.write( "Question 116934: A ball is thrown downward from a window in a tall building. Its position at time t in seconds is s=16t^2+32t, where s is in feet. How long (to the nearest tenth) will it take the ball to fall 149 feet? \n" ); document.write( "

Algebra.Com's Answer #85007 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"s+=+16t%5E2+%2B+32t\"$
\n" ); document.write( " $\"s+=+149\"$ ft
\n" ); document.write( " $\"149+=+16t%5E2+%2B+32t\"$
\n" ); document.write( " $\"16t%5E2+%2B+32t+-+149+=+0\"$
\n" ); document.write( "Use the 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( "when equation is in the form
\n" ); document.write( " $\"ax%5E2+%2B+bx+%2B+c+=+0\"$
\n" ); document.write( " $\"a+=+16\"$
\n" ); document.write( " $\"b+=+32\"$
\n" ); document.write( " $\"c+=+-149\"$
\n" ); document.write( " $\"t+=+%28-32+%2B-+sqrt%28+32%5E2-4%2A16%2A%28-149%29+%29%29%2F%282%2A16%29+\"$
\n" ); document.write( " $\"t+=+%28-32+%2B-+sqrt%2810560%29%29%2F32+\"$
\n" ); document.write( " $\"t+=+%28-32+%2B-+102.762%29%2F32+\"$
\n" ); document.write( " $\"t+=+-1+%2B-+3.2\"$
\n" ); document.write( " $\"t+=+2.2\"$ sec answer
\n" ); document.write( " $\"t+=+-+4.2\"$ reject this solution
\n" ); document.write( "It will take the ball 2.2 sec to fall 149 ft \n" ); document.write( "

\n" );