Local Cat Gets the Zoomies, Parents Sleepless

My husband and I recently adopted a year and a half old cat from a shelter and she's been an awesome addition to our house, but I have a small problem. We feed her consistently at 6:30am/pm but everyday at around 5am she wakes up and starts wandering around, sprinting down the halls, launching herself on and off our bed, aaaaaand just being a general nuisance. We are staring to loose valuable sleep because of her antics but I don't want to be frustrated with her because I'm sure she just wants something and I am not understanding what it is. Does anyone know why she might be doing this or how we can get her to stop? Thanks!