To determine the vertical position of the character when its horizontal position is 1 centimeter, we need to reference the piecewise function that defines the position. However, since the piecewise function is not provided in your question, I cannot specifically evaluate the vertical position based on the given horizontal position.
If you have the piecewise function available, please provide it, and I can help you find the vertical position when the horizontal position is 1 centimeter. If you do not have the function, we cannot determine the answer based on the information given.