document.write( "Question 1051151: An object is fired straight up from the top of a 200-foot-tower at a velocity of 80 ft/s. Find the maximum height the object will reach. (Use the formula: S(t)=-16t^2+ vot+so where vo is the initial velocity and so is the initial height.) \n" ); document.write( "

Algebra.Com's Answer #666730 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+S%28t%29+=+-16t%5E2+%2B+80t++%2B+200+\"$
\n" ); document.write( " $\"+S%28t%29+=+-2t%5E2+%2B+10t+%2B+25+\"$
\n" ); document.write( "Use the formula for the t-value
\n" ); document.write( "of the maximum height
\n" ); document.write( " $\"+t%5Bmax%5D+=+-b%2F%282a%29+\"$
\n" ); document.write( " $\"+t%5Bmax%5D+=+-10%2F%282%2A%28-2%29%29+\"$
\n" ); document.write( " $\"t%5Bmax%5D+=+5%2F2+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "Plug this result back into formula to get $\"+S%5Bmax%5D+\"$
\n" ); document.write( " $\"+S%5Bmax%5D+=+-16%2A%285%2F2%29%5E2+%2B+80%2A%285%2F2%29+%2B+200+\"$
\n" ); document.write( " $\"+S%5Bmax%5D+=+-16%2A%28+25%2F4+%29+%2B+200+%2B+200+\"$
\n" ); document.write( " $\"+S%5Bmax%5D+=+-100+%2B+400+\"$
\n" ); document.write( " $\"+S%5Bmax%5D+=+300+\"$
\n" ); document.write( "The maximum height is 300 ft
\n" ); document.write( "------------------------------
\n" ); document.write( "Here's the plot:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-2%2C+10%2C+-30%2C+350%2C+-16x%5E2+%2B+80x+%2B+200+%29+\"$
\n" ); document.write( " \n" ); document.write( "

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