Consider the usual projectile motion problem in the vertical xy-plane.
A projectile is launched with speed v0 at an angle theta from the
origin.
If the variable theta is swept from 0 to 90 degrees what part of the
xy-plane will be covered by the projectile? What is the equation of the
boundry of this area? I would also like to see a 3-D plot in which
z-axis would represent the probability of the projectile passing though
a point (x,y). I believe it will peak at the origin.
Is this worked out somewhere? I am trying to solve it but the equations
are getting messier. I am stil trying though.
Happy Holidays!!!!!
Hasan Fakhruddin
Instructor of Physics
The Indiana Academy for Science, Mathematics, and Humanities
BSU
Muncie, IN 47306
E-mail: hfakhrud@bsu.edu