Feynman says that the path of projectile in a uniform gravitational field is a parabola, but the bottom of this page says it's a cycloid. My calculation shows a parabola. Which is correct? If parabola, why does a hypothetical Big Bang to Big Crunch scenario (a closed Friedmann model) plot, for the distance over time for a pair of galaxies, a cycloid? Is that because in GR in this scenario the galaxies are in free fall in signficiant expanding space (the expanding space paradigm) whereas for the projectile the expanding space is negligible?