document.write( "Question 1050553: A baseball is hit to centre field. The ball’s height h, in metres, after t seconds can be modelled by the function h = −5t^2 + 10t + 0.8 .\r
\n" ); document.write( "\n" ); document.write( "a. What is the maximum height above the ground that the baseball will reach? \r
\n" ); document.write( "\n" ); document.write( "b. When does the ball reach its maximum height? \r
\n" ); document.write( "\n" ); document.write( "c. How long does it take for the baseball to hit the ground? \n" ); document.write( "

Algebra.Com's Answer #666276 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Convert the equation to vertex form,
\n" ); document.write( " $\"h=-5t%5E2%2B10t%2B0.8\"$
\n" ); document.write( " $\"h=-5%28t%5E2-2t%29%2B0.8\"$
\n" ); document.write( " $\"h=-5%28t%5E2-2t%2B1%29%2B0.8%2B5\"$
\n" ); document.write( " $\"h=-5%28t-1%29%5E2%2B5.8\"$
\n" ); document.write( "a) Since it's in vertex form, $\"h%5Bmax%5D=5.8\"$ $\"m\"$
\n" ); document.write( "b) Since it's in vertex form, $\"t%5Bmax%5D=1\"$ $\"s\"$
\n" ); document.write( "c) Set $\"h=0\"$ ,
\n" ); document.write( " $\"-5%28t-1%29%5E2%2B5.8=0\"$
\n" ); document.write( " $\"5%28t-1%29%5E2=5.8\"$
\n" ); document.write( " $\"%28t-1%29%5E2=%285.8%2F5%29\"$
\n" ); document.write( " $\"t-1=sqrt%285.8%2F5%29\"$
\n" ); document.write( " $\"t=1%2Bsqrt%285.8%2F5%29\"$ $\"s\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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