An object whose weight 100 lbf experiences a decrease in kinetic energy of 500 ft. lbf and

Question:

An object whose weight 100 lbf experiences a decrease in kinetic energy of 500 ft. lbf and an increase in potential energy of 1500 ft.lbf. The initial velocity and elevation of the object, each relative to the surface of the earth, are 40 ft/s and 30 ft, respectively. If g= 32.2 ft/s2, determine
(a) The final velocity, in ft/s
(b) The final elevation, in ft.