Answer to Question #135500 in Physics for burqa

Question

Based on your initial research, you found out that the human body can survive an acceleration trauma incident (sudden stop) if the magnitude of the acceleration is less than 250m/s2.what must be the inflation distance of airbag from car dashboard to avoid head injuries?

Answer 1

Assume that we have initial velocity $v$ and acceleration required to save human's live $a=250\text{ m/s}^2.$ The distance that will provide such acceleration is

$$d=\frac{v^2}{2a}=\frac{v^2}{500}.$$

For example, for 60 km/h this will be 55 cm.