Determined to test gravity, a student walks off the Burj Khalifa (aka: a really tall building) in Dubai, which is 829 m high, and fails freely. His initial velocity is zero. Jetpack Woman leaves the roof 5 5 later to save the student with an initial velocity downward and then is in free fall. In order to both catch the student and prevent injury to herself, Jetpack Woman should catch the student at a sufficiently great height and arrive at the ground with zero velocity. The upward acceleration that accomplishes this is provided by Jetpack Woman's jetpack, which she turns on just as she catches the student; before then the student is in free fall. To prevent discomfort to the student, the magnitude of the acceleration is limited to four times gravity (4 G). (You may assume that Jetpack Woman has super powers, which allow her to change velocity instantaneously). How high above the ground must Jetpack Woman catch the student