Problem 1 (Explanation Task) At 11. Car A and car B are each located at position x, moving forward at speed v. At 12, car A is located at position 2x, moving forward at speed 3 v, while car B is located at position 2x, but is moving backward at speed v. Is the average velocity of car A between t; and 12 greater than, less than or equal to the average velocity of car B between 1 and 12? (Hint: Explaining your reasoning is usually the most important part of an Explanation Task!) Problem 2 (Context-rich Problem) You and a friend are each lost in the same forest. They message you that they are directly northeast of a very large tree that is about 3 miles away. You are about 2 miles away from the same large tree, but that you are south of it: 25 west of south, approximately. About how far are you from your friend? What direction would you need to walk to reach your friend? (Hint 1: Remember to solve problems symbolically first! It can help to choose sensible variable names for all numbers given in the problem, and for any numbers that you want to find.) (Hint 2: When making sense of your symbolic answer, a good starting point is to check which variables your answer does and does not depend on. As part of making sense, always make sure to discuss not just what your answer says, but what the answer should say and why!) Problem 3 (Reflection) Look back at the problems you solved on this homework and at the strategies you used to solve them. Reflect on how the problems this week were both similar to and different from the other activities that you have worked on in this class (these can be in-class, studio, or help and practice activities). Cite specific problems and specific similarities or differences! End by commenting on what you feel you learned from all of these activities, and what you still have questions about Your reflection should be about 2-3 written paragraphs in length