Brain injuries in auto accidents. Brain injuries generally occur any time ((the

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Brain injuries in auto accidents. Brain injuries generally occur any time ((the brain's acceleration reaches 100 g for even a short time. Consider a car running into a solid barrier. With an airbag, the driver's head moves through a distance of 20 cm while the airbag stops it. Without an airbag, the head continues forward until the seatbelt stops the torso, causing the head to stop in a distance of only 5.0 cm

Find the maximum speed with which the car can strike the barrier without causing brain injury, using an airbag .

Explanation / Answer

a=100g=981m/s2

Let v be the velocity before clash.

a=v2/2s

v=sqrt(2as)=sqrt(2*981*0.2)=19.81m/s

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