Problem $1.[25$ points$]$

A highway has a posted speed limit of $50mph$ with the side friction coefficient of $0\mathrm{.}14.$ One highway section has both horizontal and vertical curves, as shown in the following figure. A recent daytime crash $($driver traveling and striking a stationary roadway object$).$ A lawsuit alleging that the speed limit is an unsafe speed for the curves.

Evaluate if the roadway design $($horizontal and vertical curves$)$ is reasonable as compared to the minimum curve length requirement due to sight distance.

Based on the above calculations, comment if the roadway design is the cause of this crash.