An object of mass 4 Kg starts at the origin in xy-plane with initial velocity vector, v(0) =< 1,1,1>. A force of magnitude 20 N acts directly upward from the xy-plane underneath the object, while gravitational force acts downward on the object. The magnitude of gravitational acceleration g = 10 m/s. Find, (i) the velocity v(t) and the position function r(t) of this object, (ii) the time it lands on ground, and (iii) the coordinates of its landing.