document.write( "Question 571016: my homework question reads:
\n" ); document.write( "an object is thrown upward from the top of a 256ft tower at a velocity of 96ft/sec. Find the height after 3 seconds.
\n" ); document.write( "I know I need to use the quadratic equation, but I don't know what to do next. \r
\n" ); document.write( "\n" ); document.write( "3t=-16t^2+96t+256
\n" ); document.write( "16t^2-93t-256=0 \r
\n" ); document.write( "\n" ); document.write( "Thanks for your help!
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Algebra.Com's Answer #367899 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
According to Physics, the height as a function of time in seconds should be
\n" ); document.write( "\"h%28t%29=-16t%5E2%2B96t%2B256\"
\n" ); document.write( "After 3 seconds, the object's height is
\n" ); document.write( "\"h%283%29=-16%2A3%5E2%2B96%2A3%2B256\"
\n" ); document.write( "\"h%283%29=-16%2A9%2B288%2B256\"
\n" ); document.write( "\"h%283%29=-144%2B288%2B256\"
\n" ); document.write( "\"h%283%29=400\"
\n" ); document.write( "The quadratic function \"h%28t%29\" has a maximum and its graph (h versus t) is a parabola.
\n" ); document.write( "To figure out when it reaches its highest altitude, find the axis of symmetry of the parabola:
\n" ); document.write( "\"x=-288%2F%282%2A%28-16%29%29\" --> \"x=9\"
\n" ); document.write( "So the object reaches its maximum height at 9 seconds.
\n" ); document.write( "That height is \"h%289%29=-16%2A9%5E2%2B96%2A9%2B256\"
\n" ); document.write( "To find out when it hits the ground (\"h%28t%29=0\"), you solve the quadratic equation
\n" ); document.write( "\"-16t%5E2%2B96t%2B256=0\" or the equivalent \"16t%5E2-96t-256=0\"
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