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Suppose that a particle moves according to the law of motion (A) Find the velocity at time t. v(t) 4t S = t 0.

 

Suppose that a particle moves according to the law of motion (A) Find the velocity at time t. v(t) 4t S = t 0. t + 5' (B) What is the velocity after 3 seconds? Velocity after 3 seconds = (C) Find all values of t for which the particle is at rest. (If there are no such values, enter O. If there are more than one value, list them separated by commas.) t = (D) Use interval notation to indicate when the particle is moving in the positive direction. (If the particle is never moving in the positive direction, enter "{}" without the quotation marks.) Answer = (E) Find the total distance traveled during the first 8 seconds. Total distance =

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