You are part of a design team for future exploration of the planet Mars, whereg= 3.7m/s2. An explorer is to step out of a survey vehicle traveling horizontally at 33m/s when it is 1200m above the surface and then fall freely for 20s. At that time, a portable advanced propulsion system (PAPS) is to exert a constant force that will decrease the explorer's speed to zero at the instant she touches the surface. The total mass (explorer, suit, equipment, and PAPS) is 150kg. Assume the change in mass of the PAPS to be negligible.