The $\backslash (25-\backslash$mathrm$\{$Mg$\}\backslash )$ flatcar supports a $\backslash (7\mathrm{.}5-\backslash$mathrm$\{$Mg$\}\backslash )$ vehicle on a $\backslash (5^\{\backslash$circ$\}\backslash )$ ramp built on the flatcar. If the vehicle is released from rest with the flatcar also at rest, determine the velocity $\backslash ($ v $\backslash )$ of the flatcar when the vehicle has rolled $\backslash ($ s$=12\backslash$mathrm$\{$~m$\}\backslash )$ down the ramp just before hitting the stop at $\backslash ($ B $\backslash ).$ Neglect all friction and treat the vehicle and the flatcar as particles.