$9-13$E$.$ When the directional control valve in the system of Figure $9-5$ returns to its center position, the cylinder rod moves in a given direction. Is this direction extension or retraction? During this movement determine the force and velocity. The piston and rod diameters are $3$ in and $1$ in $,$ respectively. The pump flow rate is $2$ gpm and the system pressure is $1000$ psi $.$

$9-14$M$.$ Repeat Exercise $9-13$ with the following metric data:

Piston diameter $=75mm$

Rod diameter $=25mm$

Pump flow rate $=8Lpm$

System pressure $=7$MPa