Horizontal throw of material point

Material point is thrown horizontally with starting velocity v0. Vector of velocity v0 is parallel to ground plane. Gravity field works on material point. Gravity field acceleration is marked g. Vector of gravity acceleration g is perpendicular to ground plane. Motion of point is divided to two components. First component of move is uniform motion which is parralell to ground plane. Second move is accelerated motion which is perpendicular to ground plane. We assume that motion takes place in vacuum. At the end of motion material point collides with ground. At the time of collision material point has end velocity v. Between end velocity and ground plane is angle α=π/4. At moment of collision no heat is released. Equation of trajectory is calculated in example.