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

Cruiser $\backslash ($ A $\backslash )$ was traveling east at $\backslash (66\backslash$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 $\backslash (45\backslash$mathrm$\{$mi$\}/\backslash$mathrm$\{$h$\}\backslash )$ 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 $\backslash ($ B $\backslash )$ was $\backslash (78\mathrm{.}8\backslash$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 $\backslash ).$

$\backslash (\backslash$mathrm$\{$y$\}\_\{\backslash$mathrm$\{$D$\}\}\backslash )$

The coordinate of $\backslash ($ D$\backslash$left$(\backslash$mathrm$\{$x$\}\_\{\backslash$mathrm$\{$D$\}\}\backslash$right$)\backslash )$ is $\backslash (51\mathrm{.}857\backslash$vee $\backslash$mathrm$\{$ft$\}\backslash ).$

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

ft$.$