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The motion of a particle is described by the equation s(t) = 2t3 - 15t2 + 33t + 17, t > 0, where s is

The motion of a particle is described by the equation s(t) = 2t3 - 15t2 + 33t + 17, t > 0, where s is in meters and t is in seconds.

When is the particle at rest?

a) When is the particle moving is a positive direction?

b) Draw a diagram to illustrate the motion of the particle in the first 10 seconds.

c) Find the total distance travelled in the first 10 seconds.

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