Suppose the position of a particle after t seconds is given

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Suppose the position of a particle after t seconds is given by the following vector equation:

F(t) = (1 + cos2πt, sin2πt)

At t = 1/4 sec, compute each of the following vectors:

a) The velocity vector

b) The acceleration vector

c) The unit tangent vector

d) Calculate the arc length for 0 ≤ t ≤ ¼

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