It is possible to fall (essentially) forever without hitting the ground. In fact, the ISS does exactly that. In addition an object can be "in freefall" whilst

It is possible to fall (essentially) forever without hitting the ground. In fact, the ISS does exactly that. In addition an object can be "in freefall" whilst travelling upwards. A ball thrown upwards begins "falling" the moment it leaves your hand. (And this is not just an arbitrary definition of the word "fall" - if you are catapulted out of a slingshot, you feel weightless from the moment you leave the slingshot, not just when you begin to come back down) These direct consequences of Newton's laws of motion, and are unintuitive to most modern people, even those who learned Newton's Laws in high-school science. They are apparent contradictions, and hence I would classify them as paradoxes.