Question

You are driving downhill on a rural road with a 3% grade at a speed of 45 mph. While playing on the side of the road, a child accidentally runs onto the roadway to pick up a ball. At what distance you must first see the child to stop your vehicle before reaching the child? How would this distance be different if you were driving on the same road and at the same speed, but going uphill? Use t

Answer 1

Answer: a) 95.07m b) 81.88 m

Step-by-step explanation:

a)

For finding the distance when vehicle is going downhill we have the formula as:

Stop sight distance= Velocity*Reaction time + Velocity² / 2*g*(f constant- Grade value)

Now by AASHTO, we have for v= 45 mph= 72.4 kph, f= 0.31

Reaction time= 0.28

So putting values we get

Stop sight distance= 0.28*72.4 *1 +
`((0.28*72.4)^(2) )/(2*9.81*(0.31-0.03))`

Stop sight distance= 95.07 m

b)

For finding the distance when vehicle is going uphill we have the formula as:

Stop sight distance= Velocity*Reaction time + Velocity² / 2*g*(f constant- Grade value)

Now by AASHTO, we have for v= 45 mph= 72.4 kph, f= 0.31

Reaction time= 0.28

So putting values we get

Stop sight distance= 0.28*72.4 *1 +
`((0.28*72.4)^(2) )/(2*9.81*(0.31+0.03))`

Stop sight distance= 81.88 m