document.write( "Question 1098543: Not sure which category to put this Algebra question in:
\n" ); document.write( " A golf ball is hit with an initial velocity of 150 feet per second at an inclination of 45 degrees to the horizontal. in physics, it is established that the height h of the golf ball is given by the function:
\n" ); document.write( "h(x) = -32x^2/150^2 + x
\n" ); document.write( "Where X is the horizontal distance that the golf ball has traveled.
\n" ); document.write( "Use a graphing utility to determine the distance that the ball
\n" ); document.write( "has traveled when the height of the ball is 80 feet? (round to one decimal place) the answer is 92.1,611.1 ft. I just can't figure out how to figure this part out. How to find the answer.What to do to get the correct answer. \n" ); document.write( "

Algebra.Com's Answer #712929 by ikleyn(52780) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "They instruct you that your formula is\r\n" );
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document.write( "h(x) = .\r\n" );
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document.write( "I forget about this \"graphing utility\" which is mentioned in the text, since I don't know what is they are talking about,\r\n" );
document.write( "and, probably, I do not have it at all (thanks to god).\r\n" );
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document.write( "I will show you how to calculate it directly by hand.\r\n" );
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document.write( "Simply substitute the value of 80 into the formula and calculate:\r\n" );
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document.write( "h(x) = 80 = .\r\n" );
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document.write( "Now you need to find x from this equation\r\n" );
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document.write( "80 = .\r\n" );
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document.write( "For it, multiply both sides by 150^2 = 22500. You will get\r\n" );
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document.write( "80*22500 = -32x^2 + 22500x,   or,  equivalently,\r\n" );
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document.write( "32x^2 - 22500x  + 1800000 = 0.\r\n" );
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document.write( "Apply the quadratic formula\r\n" );
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document.write( " =  = .\r\n" );
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document.write( " =  = 92;\r\n" );
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document.write( " =  = 611.\r\n" );
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document.write( "Answer.  There are two solutions:  92 ft  and  611 ft  (approximately).\r\n" );
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\n" ); document.write( "\n" ); document.write( "Plot y = $\"-%28%2832%2Ax%5E2%29%2F150%5E2%29+%2B+x\"$ (red) and y = 80 (green)\r
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