Part a: A box slides down the three different (frictionless) tracks shown below. For each track, the box is released from rest at the same height above the ground, and then slides down the track toward the right. Rank the tracks (A, B, C) in terms of the box's speed at the end of the track, from fastest to slowest. Show your work in determining the ranking (A) (B) (C) Part b: Three balls are thrown off a tall building with the same (initial) speed but in different directions. Ball A is thrown in the horizontal direction; ball B is launched at a 45 degree angle above the horizontal; ball C is launched at a 45 degree angle below the horizontal. Rank the final speeds of the three balls right before they hit the ground. In ranking the speeds, choose one of the options below, and show your work in determining the ranking: The nal speed of: 1) Ball A :> Ball B > Ball C 2) Ball B 2" Ball A > Ball C 3) Ball C 2" Ball A > Ball B 4) Ball A = Ball B = Ball C 5) Ball A > Ball B 2 Ball C 6) Ball A 2 Ball B > Ball C 7') Not enough information given to rank the nal speeds [explain why) Part c: Adam and Bobby are twins who have the same weight. Adam drops to the ground from a tree at the same time that Bobby begins his descent down a frictionless slide. If they both start at the same height above the ground, compare their kinetic energies when they hit the ground. In making your comparison, choose from one of the following three options, and explain your choice: 1) They both have same kinetic energy when they hit the ground 2) Adam has a greater kinetic energy than Bobby when they hit the ground 3) Bobby has a greater kinetic energy than Adam when they hit the ground. Part (1: Adam and Bobby are twins who have the same weight. Adam drops to the ground from a tree at the same time that Bobby begins his descent down a slide with friction. If they both start at the same height above the ground, compare their kinetic energies when they hit the ground. In making your comparison, choose from one of the following three options, and explain your choice: 1) They both have same kinetic energy when they hit the ground 2) Adam has a greater kinetic energy than Bobby when they hit the ground 3) Bobby has a greater kinetic energy than Adam when they hit the ground 1. Getting Started: State the important information and summarize the problem. If possible, include a diagram. Note any assumptions you're making. 2. Devise Plan: Deyise a plan of attack before diving into the solution. Break down the problem into smaller, manageable segments. Identify which physical relationships you can apply. 3. Execute Plan: Carry out your plan, explaining each step. The argument should be easy to follow. Articulate your thought process at each step [including roadblocks}. Any variables should be clearly defined, and your diagrams should be labeled. 4. Evaluate Solution: Check each solution for reasonableness. There are many ways to justify your reasoning: check the symmetry of the solution, eyaluate limiting or special cases, relate the solution to situations with known solutions, check units, use dimensional analysis, andfor checkthe order of magnitude of an answer. Note: If you got stuck in the Execute Plan stage and