3. A particle is moving along the x-axis according to 50:) = 2 cos(2t) + 3 sin(2t) a. Determine the velocity function of the particle in terms of t [2 - K] b. Determine the acceleration function of the particle in terms of t [2 - K] c. How fast is the particle traveling at t = 1r [1 - K] d. What is the acceleration of the particle at t = n [1 -A] e. What is the average velocity in the first 211' seconds [2 - K] 1'. When is the particle at rest from 0 s t S 211'? [2 A]