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