You are sitting on your bike at rest. Your brother comes running at you from behind at a speed of 2 m/s. At the exact moment he passes you, you start up on your bike with an acceleration of 2m/s2. 1. Draw a picture of the situation, defining the starting positions, speeds, etc.
2. At what time t do you have the same speed as your brother?
3. At what time t do you pass your brother?
4. Draw another picture of the exact moment you catch your brother. Label the drawing with the positions and speeds at that moment.
5. Sketch a position vs. time graph for both you and your brother, labeling the important points (i. e., starting point, when you catch him, etc.)
6. Sketch a speed vs. time graph for both you and your brother, labeling the important points (i. e., starting point, when you catch him, etc.)