[Physltest] [Phys-L] Re: projectiles

[Carl Mungan <mungan@USNA.EDU>]

Anthony Lapinski queried:

> Neglecting air resistance, we all know that the maximum range for a
> projectile occurs when the launch angle is 45° on level ground. But what
> if the object is launched from a cliff of height H above the ground? Here,
> the maximum range occurs at less than 45°. I've searched most of the
> college texts I have, but I can't find a "range formula" that has the
> height included. Is there such an equation with an initial height (similar
> to R = v^2 sin2q/g on level ground)?

Many others have already answered. Still, you
might find the following writeup useful:
http://usna.edu/Users/physics/mungan/Scholarship/Projectile.pdf

--
Carl E. Mungan, Asst. Prof. of Physics  410-293-6680 (O) -3729 (F)
       U.S. Naval Academy, Stop 9C, Annapolis, MD 21402-5040
mailto:mungan@usna.edu       http://usna.edu/Users/physics/mungan/
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