  A classic problem of the motion of a projectile thrown at an angle to the
horizon in a medium with a quadratic resistance law is studied. An approximate
analytical solution of the equations of projectile motion is presented, which
has a high accuracy. The proposed formulas are universal, that is, they can be
used for any initial conditions of throwing over a wide range of the change of
medium resistance coefficient. The motion of a shuttlecock of badminton,
bullet, table tennis ball and volleyball are presented as examples.
