Automobile Airbags. The human body can survive an acceleration trauma incident (sudden stop) if the magnitude of the acceleration is less than 250 m/s2. If you are in an automobile accident with an initial speed of 60 km/h (37 mi/h) and you are stopped by an airbag that inflates from the dashboard, over what distance must the airbag stop you for you to survive the crash?

2 answers

V^2 = Vo^2 + 2a*d
Vo = 60,000m/3600s = 16.7 m/s
d = (V^2-Vo^2)/2a
d = (0-16.7^2)/-500 = 0.56 m.
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