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An object oscillates with simple harmonic motion (SHM) along the x-axis. Its position varies with time according to the function 𝑥(𝑡)=(4 𝑚) cos(𝜋𝑡+𝜋/4), where t is in seconds and the two angles in parentheses are in radians. Determine the amplitude, phase constant, angular frequency, frequency, and period of the motion. (B) Derive an expression for the velocity of the object at any time t. (C) Derive an expression for the acceleration of the object at any time t. (D) Determine the position, velocity, and acceleration of the object at t = 1 s. (E) Determine the maximum speed and maximum acceleration of the object. (F) Find the displacement of the object between t = 0 → 1 s .