Question

You are part of a design team for future exploration of the planet Mars, where = 3.7. An explorer is to step out of a survey vehicle traveling horizontally at 33 when it is 1200 above the surface and then fall freely for 20 . 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 150 . Assume the change in mass of the PAPS to be negligible.

Answer 1

And here is the question: Find the horizontal and vertical components of the force the PAPS must exert, and for what interval of time the PAPS must exert it. You can ignore air resistance.

Answer 2

I got some help with it, the answer is about 400 N,1400 N respectively.
I'm not very confident about how I did it though so if someone else wants to explain it the go for it. :)