1) An astronaut of mass 80kg is floating in deep space above a dwarf planet's surface with his feet toward the dwarf planet. He fires a thruster that provides a 290 N force horizontally (as if he were standing upright and horizontal would be coming out of his belly button). A small leak in his suit is projecting oxygen out of the front of his suit and downward at an angle of 20 below the horizontal. The oxygen leak provides a force of 40 N in the opposite direction of the leak (like a small rocket thruster). The dwarf planet provides a small gravitational pull downward with an acceleration of g = 2.2 m/s2 .

a) Draw a free body diagram for the astronaut including all forces.

b) Find the net acceleration (magnitude and direction) of the astronaut.

c) If the astronaut started from rest, how far will he have moved after 20s?