document.write( "Question 184256: The trajectory of a potato launched from a potato cannon on the ground at an angle of 45 degrees with an initial speed of 65 meters per second can be modeled by the parabola: f(x)= x - 0.0023x2, where the x-axis is the ground. Find the height of the highest point of the trajectory and the horizontal distance the potato travels before hitting the ground. \n" ); document.write( "
Algebra.Com's Answer #138280 by stanbon(75887)\"\" \"About 
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The trajectory of a potato launched from a potato cannon on the ground at an angle of 45 degrees with an initial speed of 65 meters per second can be modeled by the parabola: f(x)= x - 0.0023x2, where the x-axis is the ground. Find the height of the highest point of the trajectory and the horizontal distance the potato travels before hitting the ground.
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\n" ); document.write( "f(x)= x - 0.0023x^2\r
\n" ); document.write( "\n" ); document.write( "The highest point occurs when x = -b/2a = -1/(2*-0.0023) = 217.39 seconds
\n" ); document.write( "The height at that time is f(217.39) = 217.39 - 0.0023(217.39)^2
\n" ); document.write( "= 108.7 ft.
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\n" ); document.write( "Distance when it hits the ground?;
\n" ); document.write( "Distance will 2(217.39) = 434.78 feet
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\n" ); document.write( "You can get this result by solving
\n" ); document.write( "x - 0.0023x^2 = 0 since zero is the hight of the potato when it hits the ground.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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