Problem $12\mathrm{.}015-$ Multiple pulley systems at rest

Each of the systems shown is initially at rest. Neglect axle friction and the mass of each pulley.

$(1)$

$200$ lb

$2200$ lb

Problem $12\mathrm{.}015.$b $-$ Speed of block in the pulley system

Determine the velocity of block A for each system after it has moved through $20$ ft $.$

The velocity of block A for system $(1)$ is

$f\frac{t}{s}.$

The velocity of block A for system $(2)$ is

$f\frac{t}{s}.$

The velocity of block A for system $(3)$ is

$f\frac{t}{s}.($Round the final answer to three decimal places.$)$

Determine the time required for block $A$ to reach a velocity of $30f\frac{t}{s}.$

The time required for block $A$ in system $(1)$ to reach the given velocity is

The time required for block $A$ in system $(2)$ to reach the given velocity is

s$.($Round the final answer to three decimal places.$)$

The time required for block $A$ in system $(3)$ to reach the given velocity is

s$.($Round the final answer to three decimal places.$)$

S$.$