Notes on Projectile MotionIf we throw a ball at angle to the horizon randomly, what is the expected length of the trajectory? Catalan's constant appears in the answer. We are also interested in the expected average speed of the ball.
The procedure for deriving the gyroscopic and dynamic stability factors involves solving, under a series of assumptions, the equations of motion (EOM) for a projectile model and imparting boundary conditions on the solutions. In the most basic case presented, we assume a spin stabilised, uncontrolle...
Physics in PerspectiveSalvia, S. (2014). Galileo's Machine: Late Notes on Free Fall, Projectile Motion, and the Force of Percussion (ca. 1638-1639). Physics in Perspective, 16(4), 440-460. https://doi.org/10.1007/s00016-014-0149-1...