A projectile is launched at an angle theta with respect to the surface with velocity v 0 (deterministic). If the angle of inclination is a uniform random variable in [0, pi/2 ], calculate the...

A projectile is launched at an angle theta with respect to the surface with velocity v₀
(deterministic). If the angle of inclination is a uniform random variable in [0, pi/2 ], calculate the distribution function of the variable R defined as the point of impact of the projectile on the ground, measured from the origin. Also calculate your expected value