document.write( "Question 962512: Bob hits a cricket ball into air. The height (in feet) of the ball at time tseconds is given by h(t)=-10.5t^2+66.3t + 6. Find the maximum height the ball reaches and the time in seconds when that maximum height occurs \n" ); document.write( "

Algebra.Com's Answer #588132 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+h%28t%29+=+-10.5+t%5E2+%2B+66.3t+%2B+6+\"$
\n" ); document.write( "The $\"+t+\"$ component of the max height is
\n" ); document.write( "found with the formula:
\n" ); document.write( " $\"+t%5Bmax%5D+=+-b%2F%282a%29+\"$
\n" ); document.write( "where the quadratic has the general form:
\n" ); document.write( " $\"+y+=+ax%5E2+%2B+b%2Ax+%2B+c+\"$
\n" ); document.write( "You've got $\"+h%28t%29+\"$ instead of $\"+y%28x%29+\"$
\n" ); document.write( " $\"+a+=+-10.5+\"$
\n" ); document.write( " $\"+b+=+66.3+\"$
\n" ); document.write( " $\"+t%5Bmax%5D+=+-66.3%2F%282%2A%28-10.5%29%29+\"$
\n" ); document.write( " $\"+t%5Bmax%5D+=+-66.3+%2F+%28+-21+%29+\"$
\n" ); document.write( " $\"+t%5Bmax%5D+=+3.16+\"$ sec
\n" ); document.write( "---------------------
\n" ); document.write( "Now find $\"+h%28t%29+=+h%28+3.16+%29+\"$
\n" ); document.write( " $\"+h%28t%29+=+-10.5+%2A3.16%5E2+%2B+66.3%2A3.16+%2B+6+\"$
\n" ); document.write( "You can finish
\n" ); document.write( "Here's the plot:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-2%2C+10%2C+-10%2C+120%2C+-10.5x%5E2+%2B+66.3x+%2B+6+%29+\"$ \n" ); document.write( "

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