Question

A spaceship in deep space has a velocity of 4000 km/s and an acceleration in the forward direction of 6 m/s2. What is the acceleration of a ball relative to the spaceship after it is released in this spaceship?
There is no force on the ball after it its release so it continues at 4,000 km/s while the ship accelerates away from it.
Therefore:
-6 m/s^2

Think, how does your head move when you accelerate a car as opposed to driving straight at constant speed.
The answer is 0, due to no extenuating forces on the ball once it exits the ship.

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