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A space probe is preparing to land of the surface of one of Jupiter’s moons to...

A space probe is preparing to land of the surface of one of Jupiter’s moons to search for evidence of life. When the probe is 5800 m above the moon’s surface, it is moving downward at 230 m/s. At this moment, the probe fires its retrorockets and accelerates upward at 5.8 m/s2. When its speed decreases to 26 m/s, though, the retrorockets fail and the probe falls, impacting the surface 28 s later. Using a coordinate system with the origin on the moon’s surface and with the positive direction pointing upward find: (a) the probe’s speed just before it hit the surface, and (b) the acceleration of gravity on this moon.

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