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13 Question 9. (3 bonus points) The acceleration of a molecule constrained to a linear path is described by the function a(t) = 4cos(3t) +

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13 Question 9. (3 bonus points) The acceleration of a molecule constrained to a linear path is described by the function a(t) = 4cos(3t) + 126'\". Given that acceleration is the rate of change of velocity v(t) with respect to time, and that velocity is the rate of change of position w(t) with respect to time, solve for the position of the molecule, given that it begins at time t = 0 in a resting state at position 5, and 11(0) = 0

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