A particle moves according to a law of motion s = f (t) t > 0, where is measured in seconds and in feet. (a)

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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.

- 10r + 12 1. f() = - 12 + 361 2. f() = - 91? + 15t + 10 4. f() = - 41 + 1 6. s= Vi(31 - 35t + 90) 3. f(1) = 5. s= 5. s= 12 +1