document.write( "Question 1208039: A golf ball is hit with an initial velocity of 130 feet per second at an inclination of 45° to the horizontal. In physics, it is established that the height h of the golf ball is given by the function \r
\n" ); document.write( "\n" ); document.write( "h(x) = [(-32x^2)/(130)^2] + x, where x is the distance that the golf ball has traveled. \r
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\n" ); document.write( "\n" ); document.write( "How far was the ball hit?\r
\n" ); document.write( "\n" ); document.write( "I know that the question is asking to find x.
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Algebra.Com's Answer #846186 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "A golf ball is hit with an initial velocity of 130 feet per second at an inclination of 45°
\n" ); document.write( "to the horizontal. In physics, it is established that the height h of the golf ball
\n" ); document.write( "is given by the function h(x) = [(-32x^2)/(130)^2] + x, where x is the distance
\n" ); document.write( "that the golf ball has traveled.\r
\n" ); document.write( "\n" ); document.write( "How far was the ball hit?
\n" ); document.write( "I know that the question is asking to find x.
\n" ); document.write( "What is the set up?
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document.write( "In this problem, the scene/(the stage where the events take place) is a horizontal line,\r\n" );
document.write( "representing the Earth surface.\r\n" );
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document.write( "The ball starts its movement at the beginning of the coordinate system x= 0 at h(0) = 0\r\n" );
document.write( "and finally falls at some x > 0, where h(x) is zero, again.\r\n" );
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document.write( "So, the setup equation to find the coordinate x, where the ball lands, is\r\n" );
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document.write( "    h(x) = 0,\r\n" );
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document.write( "or\r\n" );
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document.write( "     +  = 0.\r\n" );
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document.write( "One root of this equation is x= 0, where the ball starts.  You need the other root.\r\n" );
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document.write( "From this equation, the other root is\r\n" );
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document.write( "    x =  = 528.125  feet.\r\n" );
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document.write( "The  ANSWER  is: the ball lands at  528.125 feet from the start.\r\n" );
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