The questions is stupid because it is not clear what is meant by unstoppable force and immovable object, but either way, for positive vector v=v1 to be continuously transformed to v= -v1, it is not necessary for |v| to = 0 at any point. Consider a circular orbit.
People aren't divided on whether light is a particle or a wave. They agree that it behaves as both.
That doesn't make sense. Traveling very fast only means that your rest frame is moving fast compared to someone else's. There is no special reference frame from which we can say something is going very fast and, thus, strange effects should be observed. In fact, the basis of Einstein's theory of special relativity is that it is impossible to deduce your reference frame from the behaviour of physical laws observed from within it, therefore the headlights would work the same as they would in any other situation.
Don't know if anybody has said this but in the question of chicken and egg the egg came first. The egg would have come from 2 animals which are very close to being chickens, but which aren't, and resulted in an evolutionary genetic mutation which produced the first chicken.
Well as God supposedly created man then it has to be him. Personally I think it was a great idea to build a garden but once he got the idea of giving the shaved-apes rational thought and free will, the whole thing kind of got a bit bigger than he could handle. Omnipresence is a good idea when there's only a couple of million of us but now? Basically he bit off at little more than he could chew. It would be nice to think he still pops in to 'water the plants' every now and again but the chances are he started again somewhere else and is happy to forgo 'intelligent' conversation for the sake of the pleasant view.
It's good odds that his ultimate creation, in our eyes, would be likened to his own image. Think Mini-Me! I think it took a while to perfect his technique, hence the fur & feathers, covers a multitude of ****-ups and errors.
Because F=ma, all forces are unstoppable except where the mass of the object it impacts is infinite, at which point you have an object which cannot be affected in any real sense by a force. As such, the chances are that if an unstoppable (i.e. normally finite) force meets an immovable object (i.e. infinite mass), the object will be stationary.
However, the logical way to deal with this is to state that in any coupled situation, the existence of an unstoppable force and an immovable object are contradictory and one must take priority over the other.
Travel at light speed for a car would be impossible. However, assuming 99.999% of the speed of light, if you turned on your headlights you would see the light extending ahead of you at the speed of light from your frame of reference. One of the joys of relativity is that light speed is constant in all frames of reference, moving or otherwise.
An observer will see a totally different story, however.
Lets suppose that the immovable object is sitting on the ground, and the coefficient of friction between the ground and the object is non-zero. And lets also assume that the thing producing the unstoppable force is also attached to the ground. This way, the net force on the ground will be zero unless the object begins to accellerate (so we can't accellerate the object by accellerating the ground).
We could, by adjusting mass or the coefficient of friction, make the object immoveable for any finite force.