I'm a high school physics student, and I've been puzzling over how one can derive the equations regarding projectile motion geometrically. To do so, I began thinking of projectile motion in terms of circular motion, for 2 main reasons, including:
- All projectile motion problems in high school physics involve perfectly symmetric parabolas, and can thus be interpreted to be part of a circle; a circular segment.
- At just the right theta & resultant velocity, a projectile can be launched such that begins orbiting the earth, or whatever planetary body the problem concerns, thus resulting in a form of circular motion
Exactly why may this be useful? Well, the vertical & horizontal displacement could be found much easier (in some cases), using simple geometry.
Question: Exactly how can one derive the equations for projectile motion geometrically, via the same means we approach circular motion problems?