(Solved): 11.56 Collars \( A \) and \( B \) start from rest, and collar \( A \) moves upward with an accelera ...

11.56 Collars \( A \) and \( B \) start from rest, and collar \( A \) moves upward with an acceleration of \( 3 t^{2} \mathrm{~mm} / \mathrm{s}^{2} . \) Knowing that collar \( B \) moves downward with a constant acceleration and that its velocity is \( 150 \mathrm{~mm} / \mathrm{s} \) after moving \( 700 \mathrm{~mm} \). determine \( (a) \) the acceleration of block \( C \) as a function of time, \( (b) \) the distance through which block \( C \) will have moved after 3 .