document.write( "Question 1113479: Hello!\r
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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
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document.write( "h(t)= -16t^2+96t+112\r
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document.write( "1) Find the maximum height the ball reaches. \n" );
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Algebra.Com's Answer #728506 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! the path of the ball is a parabola that curves downward \n" ); document.write( ": \n" ); document.write( "we want the y coordinate of the parabola's vertex \n" ); document.write( ": \n" ); document.write( "x coordinate = -b/2a = (-96)/(-2*16) = 3 \n" ); document.write( ": \n" ); document.write( "y coordinate = h(t) = -16t^2 +96t +112 \n" ); document.write( ": \n" ); document.write( "h(3) = -16(9) +96*3 +112 = 256 feet \n" ); document.write( ": \n" ); document.write( "******************************************** \n" ); document.write( "the maximum height the ball reaches is 256 feet \n" ); document.write( "******************************************** \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |