document.write( "Question 1113479: Hello!\r
\n" ); document.write( "\n" ); document.write( "A ball is thrown off of the top of a 112 ft building. The height \"h\" of the ball (in feet) at any time \"t\" (in seconds) is given by the function:\r
\n" ); document.write( "\n" ); document.write( "h(t)= -16t^2+96t+112\r
\n" ); document.write( "\n" ); document.write( "1) Find the maximum height the ball reaches.
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Algebra.Com's Answer #728506 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
the path of the ball is a parabola that curves downward
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\n" ); document.write( "we want the y coordinate of the parabola's vertex
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\n" ); document.write( "x coordinate = -b/2a = (-96)/(-2*16) = 3
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\n" ); document.write( "y coordinate = h(t) = -16t^2 +96t +112
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\n" ); document.write( "h(3) = -16(9) +96*3 +112 = 256 feet
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\n" ); document.write( "the maximum height the ball reaches is 256 feet
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