3.' Suppose a person equipped with ajetpack has total mass m. While stand- ing on the ground and starting from rest, they re their jetpack, which produces a force with magnitude FJ = 3mg at an angle 6 with respect to the downward direction. (30 points) (a) What is the necessary angle 6 so that the person does not feel any net force vertically? (b) Suppose instead that the person res up the jetpack at an angle 9/2 : [with 9 found in part (a)] to the downward direction. What' 18 the ~ acceleration of the person now? ' (e) Write down the position\" vector t) of the person under the conditions in (b). (d) How far has the person traveled horizontally by the time they mach a height of ya vertically