The Lunar Module used in the Apollo moon landings could make a safe landing if the magnitu...

The Lunar Module used in the Apollo moon landings could make a safe landing if the magnitude of its vertical velocity at impact was no greater than 5 m/s. Use conservation of energy to determine the maximum height h at which the pilot could shut off the engine if the vertical velocity of the lander is (a) 2 m/s downward and (b) 2 m/s upward. The acceleration due to gravity at the moon’s surface is 1.62 m/s2.