Question #175011

The human body can survive a negative sudden stop if the magnitude of the acceleration is less than 250m/s2. If you are in an automobile accident with an initial speed of 105km/h and are stopped by an airbag that inflates from the dashboard, over what distance must the airbag stop you for you to survive the crash?



1
Expert's answer
2021-03-29T09:04:01-0400
v2=v02+2ad,v^2=v_0^2+2ad,0=v02+2ad,0=v_0^2+2ad,d=v022a,d=\dfrac{-v_0^2}{2a},d=(29.16 ms)22(250 ms2)=1.7 m.d=\dfrac{-(29.16\ \dfrac{m}{s})^2}{2\cdot(-250\ \dfrac{m}{s^2})}=1.7\ m.

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