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Question: An interstellar race manager (M) is trying to compare the performance of two new space car models. Two flags are set up 31.5 m to the right and left of the manager. Space car A comes from the left and space car B comes from the right. To the manager, the two space cars appear to pass the flags at the same instant and then pass by her simultaneously a moment later. She then determines that the speed of both space cars is 0.710c.

Part A: What time did she measure for each car to travel from the flag to her position?

Part B: According to the driver of space car B, which of the space cars went from the flag to the manager in less time, and how long did it take?

Part C: A rival team\'s space car observes all of this while speeding by from left to right at 0.936c with respect to the manager. According to this rival observer, which of the space cars went from the flag to the manager in less time, and how long did it take?

I want you to clarify the physics in this above problem. Thank you.

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