Question

A car traveling at 45 mph on a poor, wet pavement has a braking efficiency of 87%. The brakes were applied 100 feet before hitting an obstacle in the road. The road is uphill for 40 feet and then is level for the remainder of the way. The car had a maximum coefficient of road adhesion in the sloped portion of the poor, wet roadway and but as soon as it started going on the level portion its coefficient of road adhesion reduced to 0.3. Assuming that the car struck the obstacle at 30 mph, what was the grade of the hill? Assume practical stopping distance equation applies.

Answer #1

A car traveling at 45 mph on a poor, wet pavement has a braking
efficiency of 87%. The brakes were applied 100 feet before hitting
an obstacle in the road. The road is uphill for 40 feet and then is
level for the remainder of the way. The car had a maximum
coefficient of road adhesion in the sloped portion of the poor, wet
roadway and but as soon as it started going on the level portion
its coefficient of...

A car is traveling up a 1.5% grade at 65 mi/hr on good, wet
pavement. The driver brakes to try to avoid hitting a cone on the
road that is 300 ft ahead. The driver’s reaction time is 1.5
second. When the driver first applies the brakes, a software flaw
causes the braking efficiency to lower to 0.8 for 100 ft. After the
initial 100 ft, the braking efficiency returns to 1.0. How fast
will the driver be going when...

Two cars are traveling on level terrain at 60 mi/h on a road
with a coefficient of adhesion of 0.8. The driver
of car 1 has a 2.5-s perception/reaction time and the driver of car
2 has a 2.1-s perception/reaction time.
Both cars are traveling side by side and the drivers are able to
stop their respective cars in the same distance
after first seeing a roadway obstacle (perception and reaction plus
vehicle stopping distance). If the braking
efficiency of...

When traveling 40 mph (miles per hour), the distance that it
takes Fred’s car to stop varies evenly between 120 and 155 feet.
(This includes the reaction distance and the braking distance.) All
of the questions are related to the stopping distance when Fred is
traveling 40 mph.
a) Let S be the distance it takes for Fred’s car to stop at when
traveling 40 mph. Find the distribution, parameter(s), and support
of S.
b) What is the probability that...

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