Please answer all parts in detail

5. A Quantitative Model for Harmonic Motion A system undergoes simple harmonic motion, this motion is modeled using the following quantitative model: x(t) = (4.00 m) cos(3.00nt + 7), where t is measured in seconds. a. At t = 0, calculate the position, velocity, and acceleration. Explain your work. b. Att = 0.500 s, calculate the position, velocity, and acceleration. Explain your work. c. What maximal displacement does this system undergo? Explain your conclusion. d. Determine the frequency and period of the motion. Explain your computation. e. What is the phase constant for this model? Explain how you determined it. f. Sketch a position-time, velocity-time, and acceleration-time graph for this model over a three second interval