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A space adventurer needs to reach a cargo vessel 100m away. For our purposes, there are...

A space adventurer needs to reach a cargo vessel 100m away. For our purposes, there are two relative directions, the direction she is traveling in (the x - direction, at 1 m/s), and direction of the cargo ships motion, which is perpendicular to her motion (y direction, 10 m/s). She uses her jet boots, choosing to accelerate directly in the x - direction at 0.25g ( she starts at ( x = 100, y = 0). If the cargo vessel is 25m long, and its nose cone starts at x = 0, y = 0, will she reach the ship or miss it? If she misses, how should she have chosen her path (assume she cannot exceed 1g)?

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