The position function of Superman’s motion in the x-axis is given by x(t) = e^t cos(2t) + 4t^3 − t sin(t).
Use meters for the position and seconds for time.
a. Find the displacement of Superman from t = 0s to t = 5s.
b. What is the velocity of Superman for any given t? Find the velocity of Superman when t = 5s.
c. Find the acceleration function for Superman’s motion. Did he slow down or speed up when t = πs? Explain.
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