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A spaceship is accelerating at 1000m/s^2. How much force is required from the backthrusters to completely stop the spaceship?

In space, nothing truly stops. You may not be accelerating but you are definitely orbiting something (planet, moon, sun, etc). We can put something at a stable Lagrange point, but the points are in an non inertial reference frame so even then the seemingly stationary object isn't stopped.

Is this question answerable?