An object is moving in the plane according to these parametric equations: x(t) = πt + cos(4πt + π/2) y(t) = sin(4πt + π/2) A portion of the "cycloidal" path (on the time interval [0,1]) is shown in this figure: At time t=0, the object is located at (0,1). Give EXACT ANSWERS to all questions below; use pi to denote the number π.
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