You are touring a distant planet on which the magnitude of the free-fall acceleration is 65.0 % of what it is on Earth. For a little excitement, you jump off a precipice 500 m above the planet's surface. After 5.00 s of free fall, you ignite the jet-pack on your back, changing your acceleration to some new, constant value for the remainder of the fall. You reach the ground 24.0 s after igniting the jet-pack.
At what speed do you hit the ground?
Express your answer to three significant digits and include the appropriate units.