Astronaut Losing Her Oxygen

An astronaut in her space suit has a total mass of 87.0 kg, including a suit and an oxygen tank. Her tether line loses its attachment to her spacecraft while she’s on a spacewalk. Initially at rest with respect to her spacecraft, she throws her 12.0 kg oxygen tank away directly opposite from the direction to the spacecraft with a speed of 8.00 m/s to propel herself back toward it.

Determine the maximum distance (in meters) she can be from the craft and still return within 2.00 min (the amount of time the air in her helmet remains breathable).

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