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Avoiding the Emerging Pedestrian: a Mathematical Model
ISSN: 0148-7191, e-ISSN: 2688-3627
Published February 24, 1997 by SAE International in United States
Annotation ability available
A common form of pedestrian accident involves the pedestrian emerging from behind a stopped vehicle, into the path of an oncoming car. A mathematical model (“EMERGE”) has been developed for calculating the time available to the driver to see and avoid the pedestrian. It involves calculating in 2 dimensions the equations of motion of the vehicle and the pedestrian, together with the lines of sight of the driver and the pedestrian around the stopped vehicle. The sensitivity of the model to the different variables is demonstrated.
The model allows for deceleration of the car. For any given driver perception-reaction time and car deceleration rate, the model can be used to calculate the maximum speed of the car from which it would have been possible to have avoided the collision by braking to a stop. This can often demonstrate that the driver would only have been able to have avoided the collision if he had driven at an unreasonably low speed.
The model also has application in some vehicle-to-vehicle and bicycle-to-vehicle collisions where vehicles are hidden from each other until just before the collision.
CitationVaughan, R., "Avoiding the Emerging Pedestrian: a Mathematical Model," SAE Technical Paper 970962, 1997, https://doi.org/10.4271/970962.
Accident Reconstruction: Technology and Animation Vii
Number: SP-1237 ; Published: 1997-02-24
Number: SP-1237 ; Published: 1997-02-24
- Allen Corporation of America (1978) “Field Validation of Taillights - Report on Phase 1: Pilot Testing”. Alexandria, Virginia. US Department of Transportation, NHTSA. Contract No DOT-HS-7-01756. In Olson (1989).
- American Automobile Association, Traffic Engineering and Safety Department (1966) “Reaction Time in Relation to Age”. Report No. 69. In Olson (1989).
- (1994) Tabulation of walking and running speeds for pedestrians in the City of San Diego. Accident Reconstruction Journal, Vol. 6, No. 2, March/April 1994, p 38.
- Aronberg, Ralph, and Snider, Andrew A. (1994) “Reconstruction of Automobile/Pedestrian Accidents Using CATAPULT”. SAE paper 940924, in “Accident Reconstruction: technology and Animation IV”, publication SP 1030.
- Austroads (1995). “Guide to Traffic Engineering Practice, Part 13: Pedestrians”. Austroads, Sydney, Australia
- Coffin, Ann, and Morral, John (1995). “Walking Speeds of Elderly Pedestrians at Crosswalks”. Transportation Research Record 1487. Transportation Research Board.
- Corfitsen, M. T. (1982) “Increased Viso-Mororic Reaction Time of Young, Tired, Drunk Drivers”. Forensic Science International. 20(2), 121-125, 1982.
- Eubanks, Jerry J (1994). “Pedestrian Accident Reconstruction”. Lawyers & Judges Publishing Co., Tucson, Arizona
- Evans, L. (1991) “Traffic Safety and the Driver”. Van Nostrand Reinhold, New York.
- Fricke, Lynn B. (1990) “Traffic Accident Reconstruction. Volume 2 of The Traffic Investigation Manual”. Northwestern University Traffic Institute, Evanston, Illinios.
- Gazis, D., Herman, R., and Maradudin, A. (1960) “The Problem of the Amber Signal Light on Traffic Flow.” Operations Research, 1960, 8, 112-132. In Triggs and Harris (1982).
- Muto, W. H., and Wienville, W. W. (1982) “The Effect of Repeated Emergency Response Trials on Performance During Extended Duration Simulated Driving”. Human Factors. 24(6), 693-698.
- Olson, Paul L. (1989) “Driver Perception Response Time”. SAE paper 89731, in “Motor Vehicle Accident Reconstruction: Review and Update”, publication SP 777.
- Olson, P. L., Cleveland, D. E., Fancher, P. S., Kostyniuk, L. P., and Schneider, L. W. (1984) “Parameters Affecting Stopping Sight Distances”. Washington DC. The National Cooperative Highway Research Program. Report 270. In Olson (1989).
- Road Safety & Traffic Management Directorate (1996). Special tabulations of accident data held in the New South Wales accident database. New South Wales Roads & Traffic Authority, Sydney, Australia.
- Searle, John A., and Searle, Angela (1983) “The Trajectories of Pedestrians, Motorcycle, Motorcyclists, etc., Following a Road Accident”. SAE paper 831622, In “Accident Reconstruction Technologies: Pedestrians & Motorcyclists in Automotive Collisions”, publication PT 35.
- Searle, John A. (1991) “The Physics of Throw Distance in Accident Reconstruction”. SAE paper 930659. In “Accident Reconstruction: Technology and Animation III”, publication SP 946.
- Sens, Michael J., Cheng, Philip H., Wiechel, John F. and Guenther, Dennis A. (1989) “Perception/Reaction Time Values for Accident Reconstruction”. SAE paper 89732, in “Motor Vehicle Accident Reconstruction: Review and Update”, publication SP 777.
- Sivak, M., Olson, P. L., and Post, D. V. (1979). “Evaluation of Experimental (including High-Mounted) Configurations of Brake Lights in Actual Traffic”. Ann Arbor, Michigan. The Highway Safety Research Institute. Report No. UM-HSRI-79-87.
- Sivak, M., Olson, P. L., and Farmer, K. M. (1981). “High-Mounted Brake Lights and the Behaviour of Following Drivers”. Ann Arbor, Michigan. The Highway Safety Research Institute. Report No. UM-HSRI-81-31.
- Summala, H. (1981a) “Driver's Steering Reaction to a Light Stimulus on a Dark Road”. Ergonomics, 1981, 24, 125- 131.
- Summala, H. (1981b) “Driver/Vehicle Steering Response Latencies”. Human Factors, 1981, 23, 683-692. .
- Szydlowski, Wieslaw, and Jenkins, P. E. (1991) “Modeling of a Sliding Phase in Accident Reconstruction”. SAE paper 930655. In “Accident Reconstruction: Technology and Animation III”, publication SP 946.
- Thompson, T (1991) “Pedestrian Walking and Running Velocity Study”. Accident Reconstruction Journal, Vol. 3 No. 2, March/April 1991, pp 28-9.
- Triggs, T. W., and Harris, W. G. (1982) “Reaction Time of Drivers to Road Stimuli”. Human Factors Report HFR-12, Department of Psychology, Monash University, Melbourne, Australia
- Wortman, R. H. and Matthias, J. S. (1983) “An Evaluation of Driver Behaviour at Signalized Intersections”. Final Report. Arizona Transportation and Traffic Institute, Tucson, Arizona. In Olson (1989).