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When she descends the potential energy will decrease at the same rate that the kinetic energy increases.
We know that we can write the total energy of a moving object as:
E = U + K
Where U is the potential energy and K is the kinetic energy.
In the given case, U will only depend on the height of the girl and it will be maximized when the height is maximum.
K = (1/2)*m*v^2
where m is the mass and v is the velocity.
When the girl is at the highest point, the velocity becomes equal to zero. This happens because at that point she stops going up and starts going down, so the velocity must be zero at that moment.
Then we have K = 0.
E = U.
As she starts going down, the velocity starts increasing and the height decreases, thus, the kinetic energy increases and the potential energy decreases. This relates to the conservation of energy. E will always be the same value, but K and U will depend on the position of the girl.
This means that if the potential energy decreases a quantity e', then the kinetic energy must be increased by that same amount.
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