Defiance Drake, Space Adventurer, has found herself in a real dilemma. Having ej

Question

Defiance Drake, Space Adventurer, has found herself in a real dilemma. Having ejected from her self-destructing spaceship far from any moons or planets, she has a limited amount of oxygen in her emergency spacesuit. Her keen eyes detect a cargo freighter at a great distance, and her trusty jet boots (which can supply her with a constant acceleration) may get her out of yet another jam. Assuming that she is initially at rest relative to the cargo freighter, how does her velocity change when she turns on the jet boots? Since she also doesn't want to be going TOO fast and splat into the side of the ship, how does her velocity change when she later turns the boots off?

Explanation / Answer

As the jet boots supply her a constant acceleration, the velocity will keep increasing with time. Initially, she was at rest with respect to the cargo freighter, but as she turns on the boot she will have a positive velocity along the direction of the cargo freighter.

After she turns of the boot, she will keep moving at a constant velocity with respect to the cargo freighter.

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