document.write( "Question 1188601: at what angle of firing will a projectile's range be equal to its maximum height? \n" ); document.write( "

Algebra.Com's Answer #819770 by Alan3354(69443) $\"\"$ $\"About$

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at what angle of firing will a projectile's range be equal to its maximum height?
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\n" ); document.write( "Here's a different method:
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\n" ); document.write( "The path of the projectile is a parabola.
\n" ); document.write( "Make the parabola thru the points A(-1,0), B(0,2) and C(1,0)
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\n" ); document.write( "The parabola's equation is y = -2x^2 + 2
\n" ); document.write( "y' = -4x
\n" ); document.write( "@x = -1, y' = 4
\n" ); document.write( "4 is the slope of the parabola at x = -1, and is the tangent of the angle.
\n" ); document.write( "Angle = 75.964 degrees with the horizontal.
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\n" ); document.write( "This is called \"high angle fire\" \n" ); document.write( "

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