A person throws a ball up into the air and the ball falls back toward earth at which part would the kinetic energy be the lowest

The kinetic energy of the ball would be the lowest at the highest point of its trajectory, also known as the apex or peak of the ball's flight. At this point, the ball has reached its maximum height, and its velocity is momentarily zero. Since kinetic energy is directly proportional to the square of the velocity, the lowest velocity corresponds to the lowest kinetic energy.