Please help.Directions: To receive full credit, make sure work is neat and complete.

4. The acceleration of a particle moving back and forth along the y-axis is given by a(t) = 27 sin(3t). (a) If the initial velocity of the particle is -8, find an expression for the velocity function, v(t). (b) If the particle is initially at y = 2, find a formula for the position of the object s(t). (c) i. Where is the particle when t = ? ii. In which direction is the particle moving when t = ? iii. Is the particle speeding up or slowing down when t = -? Explain your reasoning