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Assume the following:

* The ship uses an Alcubierre warp drive

* It takes 4 weeks to cross the galaxy (100,000 light years in 28 days exactly just for simplicity's sake)

* The ship will accelerate for the first half of its journey, reverse engines, and decelerate for the last half.

My questions are:

- What is its rate of acceleration?

- How fast is it moving at the halfway point of the sample trip above?

- How does one calculate the answer to this sort of question so I could determine the travel time of other trips (from Sol to Polaris for example)?