At what point does the child have the greatest potential energy?

The child has the greatest potential energy when they are at their highest point in a vertical motion. In other words, at the point where their elevation or height from the ground is maximum. At this point, all the potential energy of the child is due to their position above the ground.

The child has the greatest potential energy at the highest point of its motion. In the context of physics, potential energy is the energy possessed by an object due to its position relative to other objects. In the case of a child, when the child is at the highest point in its trajectory, such as at the top of a swing or at the peak of a jump, it has the greatest potential energy. This is because at this point, the child is furthest from the ground and has the potential to fall back down, converting its potential energy into kinetic energy.