酒后驾车严重威胁公众交通安全。若将驾驶员从视觉感知前方危险到

酒后驾车严重威胁公众交通安全。若将驾驶员从视觉感知前方危险到汽车开始制动的时间称为反应时间,将反应时间和制动时间内汽车行驶的总距离称为感知制动距离。科学研究发现,反应时间和感知制动距离在驾驶员饮酒前后会发生明显变化。一驾驶员正常驾车和酒后驾车时,感知前方危险后汽车运动v-t图线分别如图甲、乙所示。求:

(1)正常驾驶时的感知制动距离s

(2)酒后驾驶时的感知制动距离比正常驾驶时增加的距离Δs

答案

解:设驾驶员饮酒前、后的反应时间分别为t1t2,由图线可得

t1=0.5s  t2=1.5s                              

汽车减速时间为t3=4.0s    初速度v0=30m/s     

由图线可得S=                                                       

①②③式得S=75m

⑵△S==30(1.5-0.5)=30(m)

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