A particle moves according to the law of motion s = t³ - 7t², t> 0, where t is measured in seconds and s in feet. (a) Find the average velocity over the interval [0, 2] ft Answer: Σ S (b) Find the velocity at time t. ft Answer: 8 (c) What is the velocity after 2 seconds? ft Answer: Σ 8 (d) What is the acceleration after 6 seconds? ft Answer: 8² (e) For t> 0, when is the particle moving in the positive direction? Answer: M M M

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A: We can solve this as follows:

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