## Question:

Determine the time needed for the load at B to attain a speed of 8 m/s , starting from rest, if the cable is drawn into the motor with an acceleration of 0.2 m/${s}^{2}$.

## Step-by-step

4$s_{B}$+$s_{A}$ =l
4 $v_{B}$ =-$v_{A}$

4 $a_{B}$=-$a_{A}$
4 $a_{B}$=-0.2
$a_{B}$=-0.05 m/${s}^{2}$

($+\downarrow$)    $v_{B}$=$\left(v_{B}\right)_{0}$+$a_{B}$ t
-8=0-(0.05)(t)
t=160 s