At max height of swing, potential energy is greatest, kinetic energy is least. At the bottom of the arc, potential energy is least, and kinetic energy is max

imum.

kinetic energy + potential energy = constant

(1/2) m v^2 + m g h = constant energy total
if h gets big, v gets small
if h gets small, v gets big

That is correct. According to the conservation of mechanical energy, the sum of kinetic energy and potential energy at any point in the swing remains constant. When the swing is at its maximum height, the potential energy is at its greatest, while the kinetic energy is at its lowest. As the swing moves downward, the potential energy decreases while the kinetic energy increases. At the bottom of the arc, the potential energy is at its lowest, while the kinetic energy is at its maximum. This relationship between potential and kinetic energy can be explained by the conversion of potential energy to kinetic energy and vice versa as the swing moves between different points in its motion.