Posted by Christy on Monday, May 24, 2010 at 11:12pm.
The equation for maximum height is
H = (V^2/2g)* sin^2 A
The equation for range is
R = (V^2/g)*sin(2A)
where A is the launch angle, measured from horizontal.
Note that both are proportional to V^2.
Deriving the formulas would be a useful exercise for you.
Both trajectory curves will be upside down parabolas. They start out coinciding, and passing through the origin, but the one that goes 4 times higher also goes 4 times farther.
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