Assignment $2/$ A temporary diversion has been constructed

on a highway of $+4$ percent grade due to major repairs that

are being undertaken on a bridge. The maximum speed

allowed on the diversion is $30k\frac{m}{h}.$ Determine the

minimum distance from the diversion that a road sign should

be located informing drivers of the temporary change on the

highway.

$$ Assume that a driver can read a road sign within his or her

area of vision at a distance of $5m$ for each centimeter of

letter height.

$$ Speed limit on highway $=110k\frac{m}{h}$

$$ Letter height of road sign $=10cm$

$$ Perception$-$reaction time $=2\mathrm{.}5sec$