Analytical construction of the projectile motion trajectory in midair

A classic problem of the motion a projectile thrown at an angle to horizon is studied. Air resistance force taken into account with use quadratic law. An analytic approach mainly applied for investigation. Equations are solved analytically arbitrarily large period time. The constructed analytical solutions universal, that is, they can be used any initial conditions throwing. As limit case motion, vertical asymptote formula obtained. value calculated directly from motion. There no need study numerically. found highly accurate over wide range parameters. baseball, tennis ball, and shuttlecock badminton presented as examples.