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Exam1S06a - 1 Achilles runs at a constant speed of 6.0 m/s...

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1. Achilles runs at a constant speed of 6.0 m/s, but starts at a distance of 11 m from a tree. At the same time, a tortoise starts from the tree and moves away from Achilles at a constant speed of 0.50 m/s. a) How far from the tree is Achilles when he catches the tortoise? 1.00 m Instead of a tortoise there is a hare that starts from rest at the tree when Achilles is 11 m from the tree, and the hare moves away from Achilles with a constant acceleration a =1.2 m/s . 2 b) At what time does Achilles first pass the hare? 2.42 s c) If Achilles misses the hare on his first attempt, at what distance from the tree does Achilles meet the hare again? (Assume that the hare continues to accelerate in the same direction with a =1.2 m/s .) 2 34.5 m Now assume that there is a gazelle that starts from rest at the tree when Achilles is 11 m from the tree, and that the gazelle moves away from Achilles with a constant acceleration a =2.5 m/s . 2 d) What is the closest distance that Achilles gets to the gazelle?
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