Provide all steps!

'_ The position of a particle is given by the equation 30?) = 4t3 34t2 + 631.\" + 11, where t is measured in seconds and s in meters. a. Find the velocity of the particle at time t. b. When is the particle at rest? c. Over what interval(s) is the particle moving in the positive direction? d. Over what interval(s) is the particle moving in the negative direction? e. Find the acceleration of the particle at time t. 1'. Over what interval is the particle speeding up? g. Over what interval is the particle slowing down