Consider a two$-$lane road shown in Figure $1$ below. The driving direction is left to right. At a particular time moment $t,$ the locations and speeds of Vehicle $5$ and its surrounding vehicles are given in Table $1.$ The location value increases along the driving direction. The carfollowing behavior of each vehicle is assumed to be consistent with the GM$5$ model with $m=2,n=0\mathrm{.}5$ and ${}_5=0\mathrm{.}01sec*$ meter ${?}^{-1\mathrm{.}5}.$ Use the MOBIL model to judge, at time $t,$ whether Vehicle $5$ will adopt discretionary lane change or not. Assume in the MOBIL model, $U=0\mathrm{.}1\frac{m}{s^2},a_{\text{b}\text{i}\text{a}\text{s},L}=0\mathrm{.}3\frac{m}{s^2},b=-1\frac{m}{s^2},p=0\mathrm{.}2.$

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Figure $1.$ The two$-$lane road

Table $1.$ Locations and speeds of vehicles

$\backslash$table$[[$Vehicle ID$,$Lane,Location $($m$),$Speed $($m$/$s$)],[1,$#$2,250,18],[2,$#$2,160,16],[3,$#$1,240,20],[4,$#$1,180,12],[5,$#$1,200,15]]$