The pendulum indicates a change in absolute velocity. The pendulum is non-responsive to changes in relative velocity between the two cars caused by the other car's change in motion. Since the pendulum indicates a change in velocity, and the relative velocity doesn't change, the pendulum is indicating a change in absolute velocity.
Hi MD;
Firstly, let me say that what is really sad in this thread, is the manner in which you've been treated by some, for simply raising this interesting thought experiment. Having read through all these posts, I find none of yours a waste of time at all - on the contrary, I find them stimulating and thought provoking. It's not like the internet just ran out of bandwidth or something .. what are these guys so upset about ? Why all the intolerance ?
Onto your proposition. If the two cars, or two rocket ships or whatever, are moving at a constant velocity, and no change in distance AT ALL to each other, then why have two ? Why not just one .. or ten ?
Why not equally transfer the thought experiment onto a rigid frame train carriage with the pendulums at each end of such carriage ? What benefit or additional criteria does seperating them into two different vehicles confer upon the experiment ?
And further, why two pendulums ? Why not just one ? They're going to behave identically in the rigid train carriage, aren't they ? Or, leaving it at two, why not bring them closer and closer together until they nearly touched .. or did touch .. or perhaps even merged in some way .. back to one. Wouldn't then, this movement of the pendulum due to a rocket boost, simply be showing it's inertia ?
Finally, I really like the way in which you've kept your arguments simple and understandable. None of it has seemed like semantics to me.