In: Physics
You are touring a distant planet on which the magnitude of the gravitational acceleration is 65% of that near the earth's surface. For a little adrenaline, you decide to jump off a precipice 500m above the planet's surface. After 5 seconds of free fall, you ignite the jet pack on your back, changing your acceleration to some new, constant value for the rest of your fall. If you reach the surface 26 seconds after ingiting the jet pack, with what speed do you land?