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Statement of a problem № m52625

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A particle moves according to a law of motion s = f(t), t ≥ 0, where is measured in seconds and in feet. (a) Find the velocity at time t. (b) What is the velocity after 3 s? (c) When is the particle at rest? (d) When is the particle moving in the positive direction? (e) Find the total distance traveled during the first 8 s. (f) Draw a diagram like Figure 2 to illustrate the motion of the particle. (g) Find the acceleration at time and after 3 s. (h) Graph the position, velocity, and acceleration functions for 0 ≤ t ≤ 8.




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