Serway & Jewett — Oscillatory Motion: Problem 3

The position of a particle is given by the expression \( x = 4.00 \cos (3.00\pi t + \pi) \), where \( x \) is in meters and \( t \) is in seconds. Determine (a) the frequency and (b) period of the motion, (c) the amplitude of the motion, (d) the phase constant, and (e) the position of the particle at \( t = 0.250 \text{ s} \).