A student holds a whiteboard up and moves in front of a motion detector. She starts two meters from the motion detector, walks towards it slowly at a constant rate, stops for a moment, then backs up at twice the speed at which she approached the detector, stops again, then moves forwards at an increasing speed. In the space below, sketch the position, velocity, and acceleration graphs (10 points each) and explain why you drew the graphs the way you did (10 points each).