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Tortoise and Hare w/ Solution A tortoise and hare start from uniformly at a rate

ID: 1652478 • Letter: T

Question

Tortoise and Hare w/ Solution A tortoise and hare start from uniformly at a rate of 1.5 m/s2 for 4 seconds. It then continues at a constant s tired and slowing down with constant acceleration accelerates uniformly for the entire distance, finally catching the hare just as the hare comes to a stop. rest and have a race. As the race begins, both accelerate forward. The hare accelerates coming to rest 92 meters from where it started. The tortoise 1) How fast is the hare going 3.2 seconds after it starts? See solution 4.8 m/s Submit 2) How fast is the hare going 11 seconds after it starts? See solution 6 /s Submit 3) How far does the hare travel before it begins to slow down See solution 81.6 4) what is the acceteration of the hare once it begins to slow down? See solution 1.73 m/s Submit ipla

Explanation / Answer



Time taken to slow down t = v / a = 6 / 1.73 = 3.46s

Total time for journey = 4.0 + 11 + 3.46 = 18.46 s

For the tortoise

d = 1/2 . a . t^2

a = 2 (92) / (18.46)^2 = 0.54m/s/s

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