# physics

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A person wearing a safety belt can withstand an acceleration of -3.0E2 m/s2. How thick should barriers be to safely stop a car that hits a barrier at 97 km/h?

• physics -

First of all, do the conversion
97 km/h = 26.9 m/s

If deceleration occurs over a distance X (the "barrier thickness")

Vo = sqrt(2 a X) ; therefore

X = Vo^2/(2 a) = (26.9)^2/(2*300) = 1.21 m

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