Problem $8$: Do problem $3-23(15$pts$)$

A temporary diversion has been constructed on a highway of $+4\%$ grade due to major

repairs that are being undertaken on a bridge. The maximum speed allowed on the

diversion is $20m\frac{i}{h}.$ 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 $30$ ft for

each inch of letter height.

Speed limit on highway $=65m\frac{i}{h}$

Letter height of road sign $=8$ inches

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