Problem 1: Two scenarios are provided in Figure 1. In Scenario 1, there are three runners (A, B, and C) racing around a track, and they all run at the same speed. In Scenario 2, there are three points (A, B, and C) on a rotating rod. Given this information, answer the questions below. t = At L= Al t=0 ° 1 = 0 Scenario 1 Scenario 2 Figure 1: Scenario 1 (runners around a track) and Scenario 2 (rotating rod). Summary: i) In simple words, what does the normal (or centripetal) component of acceleration represent, and which direction should it point for uniform (constant speed) circular motion? ii) For Scenario 1, rank in order (from lowest to greatest) which runners are changing direction of velocity the quickest. (Hint: We are told the speeds are the same, so just consider direction of the runners' unit vectors.) iii) For Scenario 2, rank in order (from lowest to greatest) which points are changing direction of velocity the quickest. (Hint: Consider the average acceleration A/At for each point and look at what direction it is pointing. It may be useful to plug in actual numbers for w, r, and At to calculate and compare values of A/At for the different points). iv) For Scenario 1, which formula for the normal component of acceleration is consistent with how you ranked A, B, and C? Choose an = 1-2 or an = w²r and explain. v) For Scenario 2, which formula for the normal component of acceleration is consistent with how you ranked A, B, and C? Choose an or an = w²r and explain. v2

Problem 1: Two scenarios are provided in Figure 1. In Scenario 1, there are three runners (A, B, and C) racing around a track, and they all run at the same speed. In Scenario 2, there are three points (A, B, and C) on a rotating rod. Given this information, answer the questions below. t = At L= Al t=0 ° 1 = 0 Scenario 1 Scenario 2 Figure 1: Scenario 1 (runners around a track) and Scenario 2 (rotating rod). Summary: i) In simple words, what does the normal (or centripetal) component of acceleration represent, and which direction should it point for uniform (constant speed) circular motion? ii) For Scenario 1, rank in order (from lowest to greatest) which runners are changing direction of velocity the quickest. (Hint: We are told the speeds are the same, so just consider direction of the runners' unit vectors.) iii) For Scenario 2, rank in order (from lowest to greatest) which points are changing direction of velocity the quickest. (Hint: Consider the average acceleration A/At for each point and look at what direction it is pointing. It may be useful to plug in actual numbers for w, r, and At to calculate and compare values of A/At for the different points). iv) For Scenario 1, which formula for the normal component of acceleration is consistent with how you ranked A, B, and C? Choose an = 1-2 or an = w²r and explain. v) For Scenario 2, which formula for the normal component of acceleration is consistent with how you ranked A, B, and C? Choose an or an = w²r and explain. v2