Example $2$

Determine an expression for the velocity $v_A$ of the

cart A down the incline in terms of the upward ve$-$

locity $v_B$ of cylinder $B.$ Take $h=3m,$

Determine the acceleration of block A so that when it is

released from rest it moves the block B a distance of $0\mathrm{.}75$

m up in $t=2s.$ At this instant $x$ is $5\mathrm{.}78$ m $.$