A piece of ejecta is thrown up by the impact of a meteor on the moon. When it is 1000 km a...

A piece of ejecta is thrown up by the impact of a meteor on the moon. When it is 1000 km above the moon’s surface, the magnitude of its velocity (relative to a nonrotating reference frame with its origin at the center of the moon) is 200 m/s.

What is the magnitude of its velocity just before it strikes the moon’s surface? The acceleration due to gravity at the surface of the moon is 1.62 m/s2. The moon’s radius is 1738 km.