Please see the attachment for the question on the velocity of the block in incline.
Let the distances measured along the wedge ar denoted by x and the perpendicular distance of point B from the wedge is y:
y = 4*sin(15) = 1.035276 ft
xo(initial x) = 4*cos(15)= 3.8637 ft
Since a 30 lb force is applied vertically downward on the hanging pulley (massless), therefore, tension (T) on each side of the pulley will be 15 lb (no friction).
Now for block A:
At any ...
The solution answers what happens to a block that goes up an incline, particularly with respect to its velocity.