document.write( "Question 638864: If a ball is thrown directly upward with a velocity of 52 feet per second,its height(in feet) after t seconds is given by y=52t-16t^2. what is the maximum height attained by the ball? \n" ); document.write( "

Algebra.Com's Answer #402439 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Put the equation in the form $\"+y+=+ax%5E2+%2B+b%2Ax+%2B+c+\"$
\n" ); document.write( "The x-co-ordinate of the maximum is $\"+x%5Bmax%5D+=+-b%2F%282a%29+\"$
\n" ); document.write( " $\"+y+=+-16t%5E2+%2B+52t+\"$
\n" ); document.write( " $\"+a+=+-16+\"$
\n" ); document.write( " $\"+b+=+52+\"$
\n" ); document.write( " $\"+t%5Bmax%5D+=+-52+%2F+%28+2%2A%28-16%29+%29+\"$
\n" ); document.write( " $\"+t%5Bmax%5D+=+52%2F32+\"$
\n" ); document.write( " $\"+t%5Bmax%5D+=+1.625+\"$ sec
\n" ); document.write( " $\"+y+=+-16t%5E2+%2B+52t+\"$
\n" ); document.write( " $\"+y%5Bmax%5D+=+-16%2A1.625%5E2+%2B+52%2A1.625+\"$
\n" ); document.write( " $\"+y%5Bmax%5D+=+-16%2A2.640625+%2B+84.5+\"$
\n" ); document.write( " $\"+y%5Bmax%5D+=+-42.25+%2B+84.5+\"$
\n" ); document.write( " $\"+y%5Bmax%5D+=+42.25+\"$
\n" ); document.write( "The max height is 42.25 ft
\n" ); document.write( "Here's the plot:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-2%2C+5%2C+-5%2C+50%2C+-16x%5E2+%2B+52x+%29+\"$ \n" ); document.write( "

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