Motor Daddy
Valued Senior Member
There is no contradiction. The 2 rockets have no relative velocity between them, then they accelerate at exactly the same rate and after a certain amount of time they stop accelerating. There is still no relative velocity between the rockets. The absolute velocity before the acceleration is unknown. After the acceleration the speed is:
[the unknown initial absolute velocity] + [velocity increase due to the acceleration] = Unknown absolute velocity.
What do you mean they accelerate at the same rate? The distance between the rockets remains the same at ALL times!
If you want to talk about acceleration in this scenario you MUST talk about it in the absolute frame! The pendulum is swinging due to the change in velocity in the absolute frame!