Acceleration/Deceleration equation for travel within a solar system

Basics: There is a wormhole in a fixed position within a solar system. It is roughly 40 million miles from the orbit of the habitable planet, which kind of mimics Earth (roughly 12 month solar orbit at a distance of 90 million miles, etc).

Ships typically travel from our Solar system through said wormhole during a specific window and arrive at a time where the planet is approaching its closest point to the wormhole as this is the most cost efficient journey.

What I can't seem to get my head round is the speed, acceleration and deceleration. So how fast would the ships need to accelerate, to what optimum speed, before slowing down and the rate of deceleration required to avoid turning the humans inside the ships into jelly.

Would it make more sense to continue acceleration to an optimum speed and then immediately switch to deceleration, or accelerate at a faster initial rate to an effective "cruising speed" and then hit the brakes closer to the target?

Ideally, I'd like them to make the 40 million mile journey in about two weeks.

posted over 5 years ago

Tommy‭

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