Ms. Paterson steps out in the hall during a break from class and sees a student 10 meters away walking down the hall at +2 m/s wearing a really awesome hat. If Ms. Paterson starts from rest and accelerates at +0.33 m/s^2 to chase after the student to steal the hat, calculate how far. Ms Paterson travels before she catches the student, how much time it takes to catch her, and how fast she is going when she catches her.