A $14\mathrm{.}8-$lbf block $B$ starts from rest and slides on the $23\mathrm{.}5-$lbf wedge $A,$ which is supported by a horizontal surface. Neglecting friction.

Determine the velocity of $B$ relative to A after it has slid $3\mathrm{.}1$ ft down the inclined surface of the wedge.

$v_{\frac{B}{A}}=i+j(f\frac{t}{s})$

Determine the corresponding velocity of $A.$

$v_{\frac{A}{O}}=,i+,j(f\frac{t}{s})$