Cars A and B are traveling in a section of a highway. Car B with a velocity of 20 m/s, and an acceleration of 2.5 m/s2 is behind Car A. Car A is rounding a curved section of the highway with a radius of 100 m at a rate of 12 m/s. Determine the velocity and acceleration which Car A appears to have if Car A accelerates round the curve at a rate of 5.3 m/s2.

Cars A and B are traveling in a section of a highway. Car B with a velocity of 20 m/s, and an acceleration of 2.5 m/s2 is behind Car A. Car A is rounding a curved section of the highway with a radius of 100 m at a rate of 12 m/s. Determine the velocity and acceleration which Car A appears to have if Car A accelerates round the curve at a rate of 5.3 m/s2.

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter3: Characteristics Of The Driver, The Pedestrian, The Bicyclist, The Vehicle, and The Road

Section: Chapter Questions

Problem 10P

See similar textbooks

Similar questions

Cars A and B approached each other on a straight road from points 468 meters apart. A has an initial speed of 75 kph and is decelerating at the rate of 0.42 m/s^2. B has an initial speed of 29 kph and is accelerating at the speed of 0.3 m/s^2. At what time (seconds) will the cars be 202 meters apart from each other?
Repeat the previous problem, only now the driver of car A is traveling at VA = 130 km/h as it passes P, but over the next 5 seconds, the car uniformly decelerates to the speed limit of 100 km /h, and after that the speed limit is maintained. If the motion of the police car P remains as described in the previous problem, determine the distance required for police officer to overtake car A. Ans. 330 m
a driver is traveling at 65 mi/h rounds a curve on a level grade to see a truck overturned across the roadway at a distance of 350 ft. if the drivers is able to decelerate at a rate of 10 ft/s2. At what speed will the vehicle hit the truck? Plot the result for reaction times ranging from 0.5 to 5 seconds in increments of 0.5 seconds
Cars A and B approached each other on a straight road from points 460 m apart. A has an initial speed of 70 kph and is decelerating at the rate of 0.40 m/s2. B has an initial speed of 20 kph and is accelerating at the rate of 0.30 m/s2. When will the cars meet and how far will each have traveled?
1. Maria was trying to test the braking ability of her car determined that she needed 5.64m more to stop her car when driving downhill on a road segment of 5% grade than when driving downhill at the same speed along another segment of 3% grade. Determine the speed at which the student conducted her test and the braking distance on the 5% grade if the student is travelling at the test speed in the uphill direction.
Situation 3. A road having a radius of 120m and has angle of 9.31 degrees from the horizontal. The center of gravity of the car is located 0.80m above the roadway and the distance between the two front wheels is 1.20m. If the car has a total weight of 15 KN, a. Compute the normal acceleration and the velocity of the car before overturning. b. If uk= 0.60, what is the velocity of the car without sliding? Please answer this with a complete solution and with a Free Body Diagram PLEASE. Thank you.
You are to determine the duration of the yellow light at a highway intersection. Assume that cars will be approaching the intersection traveling at 70 mph, and that the reaction time of the driver is 2.5 sec and that cars achieve a deceleration of 1/8 of the gravitational acceleration. if g=32.2 fps^2, a. how long must the traffic light remain yellow to allow drivers to come to stop before the traffic light turns red? b. what is the minimum distance of a car from the intersection when the lightturns yellow to ensure that it comes to a full stop before the intersection?
3. What should be the maximum speed (mph) of a car traveling on a leveled (zero grade) road surface if the available stopping sight distance is 400 ft? Assume 1.5 s of reaction time and braking friction coefficient of 0.35.
Car A experienced engine failure the moment it enters a 2-km highway that has a constant grade of 4 deg throughout its span (4 deg. inclination). Point C is the location where car A experienced failure. When car A is towed by the truck it gains an acceleration of 3 m/s^2, at the same instance, car B is passing the same highway with a constant velocity of 40 km/hr and is 100m away from point C (measured along the pavement). 1. At what time will car A overtake car B? answer in unit of seconds. 2. How far from point C (along the pavement) will the two cars meet? answer in unit of meters 3. What is the velocity of car A at the instance it overtakes car B? answer in unit of km/hr
Two automobiles A and B are approaching each other in adjacent highway lanes. At t=0, A and B are 1km apart, their speeds are 108km/h and 63km/h and they are at the points P and Q respectively. Knowing that A passes point Q 40s after B was there and B passes P 42s after A was there, determine the uniform acceleration of A and B, when the vehicles pass each other and the speed of B at that time.
A motorist is traveling at v0 = 63 km/h when she observes that a traffic light x = 448m ahead of her turns red. The traffic light is timed to stay red for 26s. If the motorist wishes to pass the light without stopping just as it turns green again, determine (a) the required uniform deceleration of the car and (b) the speed of the car as it passes the light.
A truck travels along a straight, level road at the speed of 76ft/sec. when the driver is forced to apply the breaks to avoid an accident. If the truck undergoes a constant deceleration of 6ft/sec2, how far does the truck travel before coming to a complete stop?