# Space Walk

Classical Mechanics Level 4

David is an astronaut in the International Space Station. A part of a satellite that is $$310$$ m away is broken, and David needs to fix it. He gets there with a jetpack which can be used to either accelerate or decelerate with $$0.8 \text{ m/s}^2$$.

David starts at rest. He then starts accelerating with his jetpack, in the direction of the satellite. After some time, he stops accelerating and immediately starts decelerating, until he gets to the satellite, which he reaches with a velocity of $$4 \text{ m/s}$$.

How long in seconds does it take David to reach the satellite?

#### Thanks to Sreejato Bhattacharya for the image!

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