The position of a particle is given by the equation.
s = f(t) = t3 - 6t2 + 9
Where t is measured in seconds and s in meters.
(a) Find the velocity at time t
(b) What is the velocity after 2s ? after 4s ?
(c) When is the particle at rest ?
(d) When is the particle moving forward (that is, in the
positive direction) ?
(e) Find the total distance traveled by the particle during the
first five seconds
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