Parabolic Motion Bonus Fact!
According to relativity the parabola is the pathway that takes the mosttime. While this seems to contradict the principle of least action it needs to be stated that this is only relative to the object in motion. To a stationary observer the path is the least time taken, but to the ball in flight it takes the most time. This is because it’s a balance between the time slowing effects of increased velocity and time speeding up effect of lower gravity.