Problem $14\mathrm{.}020-$ Coordinates of wall

Cruiser $\backslash ($ A $\backslash )$ was traveling east at $\backslash (69\backslash$mathrm$\{$mi$\}/\backslash$mathrm$\{$h$\}\backslash )$ on a police emergency call when it was hit at an intersection by car $\backslash ($ B $\backslash ),$ which was traveling south at high speed. After sliding together on the wet pavement, the two cars hit cruiser $\backslash ($ C $\backslash ),$ which was traveling north at $45$ mi$/$h and was $63$ ft from the intersection at the time of the first collision. Stuck together, the three cars hit a wall and came to a stop at $\backslash ($ D $\backslash ).$ Knowing that car $\backslash ($ B $\backslash )$ weighs $3600$ lb and that each of the cruisers weighs $3000$ lb $,$ solve the problem by neglecting the forces exerted on the cars by the wet pavement and treating the cars as point masses. Knowing that the speed of car Bwas $\backslash (80\mathrm{.}6\backslash$mathrm$\{$mi$\}/\backslash$mathrm$\{$h$\}\backslash )$ and that the time elapsed from the first collision to the stop at $\backslash ($ D $\backslash )$ was $1\mathrm{.}5$ s $,$ determine the coordinates of $\backslash ($ D $\backslash ).$

$(\backslash (\backslash$left$.$y$\_\{$D$\}\backslash$right$)\backslash )$

The coordinste of $\backslash ($ D$\backslash$left$($x$\_\{$D$\}\backslash$right$)\backslash )$ is

$*$ ft$.$

The coordinate of $\backslash ($ D$\backslash$left$($y$\_\{$D$\}\backslash$right$)\backslash )$ is

$\backslash ((3)\backslash$mathrm$\{$ft$\}\backslash ).$