A vertical curve was designed in 2017 based on SSD requirements at a design speed of 120 km/h to connect grades a +1 per

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A vertical curve was designed in 2017 based on SSD requirements
at a design speed of 120 km/h to connect grades a +1 percent grade
and a -2 percent grade. The curve is to be redesigned for the same
speed in the year 2050, but vehicle braking technology has advanced
such that vehicle deceleration rate on the curve has increased by
10% relative to 3.4 m/s2 that was used in the original design.
Also, due to the higher percentage of older people in the driving
population, design reaction time has increased by 20% relative to
the original 2.5 seconds. Furthermore, because vehicles have become
smaller, the driver's eye height is assumed to be 0.9 m above
pavement compared with the original 1.08 m. Assume the height of
the object is always 0.6 m, compute the difference in minimum
design curve lengths for the 2007 and 2050 designs.