1. Rain is falling vertically downward as you drive your car through it. Why does it appear the rain is falling at an angle? Explain your answer using vectors considering both the velocity of the car and the rain.

2. A physics professor starts from rest and begins walking across the front of the room (define this direction to be positive) increasing her speed at a constant rate. She then suddenly reverses direction and walks backward with constant speed. Sketch graphs of velocity and acceleration consistent with this description.