A vertical curve was designed in $2006$ for SSD requirements at a design speed of $120$ A vertical curve was designed in $2006$ for SSD requirements at a design speed of $120$

$k\frac{m}{h}$ to connect grades $G1=+1\%$ and $G2=-2\%.$ The curve is to be redesigned for a

$120k\frac{m}{h}r$ design speed in the year $2050.$ Vehicle braking technology has advanced such

that vehicle deceleration rate has increased by $40\%$ relative to $3\mathrm{.}4\frac{m}{s^2}$ value used in the

origin design. However, due to higher percentage of older people in the driving

population, design reaction times have increased by $20\%.$ Also, because vehicles have

become smaller, the drivers eye height is assumed to be $0\mathrm{.}9$ m above pavement. Compute

the difference in design curve lengths for the $2006$ and $2050$ designs. Assume $h_{\text{e}\text{y}\text{e}}=$

$1\mathrm{.}08$ m and $h_{\text{o}\text{b}\text{s}}=0\mathrm{.}60m.$

km$/$h to connect grades G$1=+1\%$ and G$2=2\%.$ The curve is to be redesigned for a

$120$km$/$hr design speed in the year $2050.$ Vehicle braking technology has advanced such

that vehicle deceleration rate has increased by $40\%$ relative to $3\mathrm{.}4$m$/2$value used in the

origin design. However, due to higher percentage of older people in the driving

population, design reaction times have increased by $20\%.$ Also, because vehicles have

become smaller, the drivers eye height is assumed to be $0\mathrm{.}9$m above pavement. Compute

the difference in design curve lengths for the $2006$ and $2050$ designs. Assume $=1\mathrm{.}08=0\mathrm{.}60.$