3. A particle is moving along the x-axis according to 30.\") = 2 cos(2t) + 3 sin(2t) 3. 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 = 1r [1 A] e. What is the average velocity in the first 211 seconds [2 K] f. When is the particle at rest from 0 S t S 211'? [2 -A]