The ratio of masses
of the Cylinder A to that of the cylinder B is 1:3 and the cylinder B
has a mass of 1) 5.76 ft/s, 11.5
ft/s 

Kinematics: The speed
of cylinder A and B can be related by using position coordinate equation Principle of work
and energy: By considering the whole system, weight B acts in the direction
of the displacement does positive work. Wieght A does negative work since
it acts in the opposite direction to that of the displacement. Since block
A and B are at rest initally, T_{1} = 0. Solving equations
(1) and (2) we have that So the velocities of blocks A and B after A travels 4m are V_{A} = 5.76 m/s and V_{B} = 11.52 m/s respectively. 