Question: A particle moves along a line so that its position at any time t 0 is then given by the function: s(t) = (t -

A particle moves along a line so that its position at any time t 0 is then given by the function: s(t) = (t - 2)²(t - 4) where s is measured in meters and t is measured in seconds.

a) find the instantaneous velocity at any time t.

b) Find the acceleration of the particle at any time.

c) when is the particle at rest?

d. describe motion of the particle. At what value of t does the particle change directions?

show all work (feel free to write out the steps on a piece of paper and then send me an image if it makes it easier, thanks!)

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