3. A 2.75 kg particle moves as function of time as follows: x(t) = 5cos(1.25t+π/4); where distance is measured in meter and time in seconds. (a) What is the amplitude, frequency,

angular frequency, and period of this motion? (b) What is the equation of the velocity of

this particle? (c) What is the equation of the acceleration of this particle? (d) What is the

spring constant? (e) What are the equations for the potential and kinetic energies of the

particle? (f) What is the total energy?