document.write( "Question 348691: Suppose Charlie O'Brien Of the Braves hits a baseball straight upward at 150 ft/sec from a height of 5ft. Use the formula to determine how long it takes the ball to return to earth? \n" ); document.write( "

Algebra.Com's Answer #249265 by josmiceli(19441) $\"\"$ $\"About$

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$\"-32t%5E2+%2B+150t+%2B+5+=+h\"$
\n" ); document.write( " $\"h\"$ is the height above ground.
\n" ); document.write( "At $\"t=0\"$ the height is $\"5\"$ ft
\n" ); document.write( "as it should be.
\n" ); document.write( "At $\"t+=+1\"$ sec
\n" ); document.write( " $\"-32%2A1%5E2+%2B+150%2A1+%2B+5+=+123\"$ ft ( it's going up)
\n" ); document.write( "At $\"t+=+2\"$ sec
\n" ); document.write( " $\"-32%2A2%5E2+%2B+150%2A2+%2B+5+=+177\"$ ft (still going up)
\n" ); document.write( "At $\"t+=+3\"$ sec
\n" ); document.write( " $\"-32%2A3%5E2+%2B+150%2A3+%2B+5+=+167\"$ ft (it's coming down)
\n" ); document.write( "It's going to hit ground sometime after $\"3\"$ sec
\n" ); document.write( "Make $\"h+=+0\"$ (ground)
\n" ); document.write( " $\"-32t%5E2+%2B+150t+%2B+5+=+0\"$
\n" ); document.write( "Solve using 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( " $\"a+=+-32\"$
\n" ); document.write( " $\"b+=+150\"$
\n" ); document.write( " $\"c+=+5\"$
\n" ); document.write( " $\"t+=+%28-150+%2B-+sqrt%28+150%5E2-4%2A%28-32%29%2A5+%29%29%2F%282%2A%28-32%29%29+\"$
\n" ); document.write( " $\"t+=+%28-150+%2B-+sqrt%28+23140+%29%29%2F%28-64%29+\"$
\n" ); document.write( " $\"t+=+%28-150+-+152.118%29%2F%28-64%29\"$
\n" ); document.write( "You can finish \n" ); document.write( "

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