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A spacecraft consists of a 549-kg orbiter and a 235-kg lander. It’s moving at 66.6 km/s...

A spacecraft consists of a 549-kg orbiter and a 235-kg lander. It’s moving at 66.6 km/s relative to a nearby space station along the horizontal x-axis. Explosive bolts separate the orbiter and lander, after which the orbiter is moving at 47.2 km/s at a 41.4∘ angle to the motion of the original composite spacecraft (above the x-axis).

a. Find the magnitude of the lander’s velocity.

b.Find the direction of the lander’s velocity.

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