A person throws a ball up into the air, and the ball falls back toward Earth. At which point would the kinetic energy be the lowest?

The kinetic energy of an object is highest at the point of release and lowest at the highest point of its trajectory.

Therefore, the kinetic energy of the ball would be the lowest at the highest point of its trajectory, just before it starts falling back towards Earth. At this point, the ball's velocity would be zero, resulting in zero kinetic energy.