Suppose that the equation of motion for a particle (where $s$ is in meters and $t$ in seconds) is $$s = \sin(3 \pi t)$$ .
(a) Find the velocity and acceleration as functions of $t$.

Velocity at time $t$ =

Acceleration at time $t$ =
(b) Find the acceleration after 1 second.

Acceleration after 1 second:
(c) Find the acceleration (in absolute value) at the instant when the velocity is 0.

Acceleration: