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Problem $11\mathrm{.}059-$ Relative motion of the blocks

The system shown starts from rest, and each component moves with a constant acceleration. The relative

acceleration of block $C$ with respect to collar $B$ is $60m\frac{m}{s^2}$ upward and the relative acceleration of block $D$

with respect to block $A$ is $110m\frac{m}{s^2}$ downward.

Problem $11\mathrm{.}059.$a $-$ Velocity of the block

Determine the velocity of block $C$ after $3$ s $.$

The velocity of block $C$ after $3$ s is

$(2)m\frac{m}{s}.1$