Trajectory of a projectile on a frictional inclined plane

A closed form solution is given for the trajectory of a particle sliding on an inclined plane with Coulomb-type friction. If the inclination of the plane is less than the friction angle, the particle eventually comes to rest and expressions for the location of this point and the duration of the motion are given. If the initial launch is inclined at a small angle with respect to the upward line of greatest slope, the direction of the velocity changes rapidly during the last instants of motion.