In the final stages of a moon landing, the lunar module descends under retrothrust of its descent engine to within \(h=5 \mathrm{~m}\) of the lunar surface where it has a downward velocity of \(2 \mathrm{~m} / \mathrm{s}\). If the descent engine is cut off abruptly at this point, compute the impact velocity of the landing gear with the moon. Lunar gravity is \(\frac{1}{6}\) of the earth's gravity.