Problem $9$: The rope in the figure below is fixed to the ceiling, wound through two pulleys and then connected to $m_1$ which

is sitting on a frictionless surface. Pulley $P_1$ is fixed in place but the other pulley is free to move up and down, and both

pulleys are massless. If the system is released from rest, $m_1=15\mathrm{.}0kg$ and $m_2=6\mathrm{.}00kg,$ how much time does it take for $m_1$

to travel $x=0\mathrm{.}250m?$ How about $m_2$ to travel the same distance? Remember to use the fact that if the rope is light and

the pulley is massless, the tension is the same at all points along the rope.