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 \(500 \mathrm{~m}\) above the planet's surface. After \(5.00 \mathrm{~s}\) 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 \(26.0 \mathrm{~s}\) after igniting the jet-pack. At what speed do you hit the ground?