The motor at C pulls in the cable with an acceleration $a_c = (3t^2) m/s^2$, where $t$ is in seconds. The motor at D draws in its cable at $a_D = 5 m/s^2$. If both motors start at the same instant from rest when $d = 3 m$, determine (a) the time needed for $d = 0$, and (b) the velocities of block A relative to block B when this occurs.
Final Answer: $t = 1.07 s$
$v_{A/B} = 5.93 ms/s \rightarrow$