Question

If you are in an automobile accident with an initial speed of 125 km/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?

Answer 1

`d = 2.05 m`

Step-by-step explanation:

Speed of the car is given as

`v = 125 km/h`

here we know that

`v = 125 * (1000)/(3600)`

`v = 34.72 m/s`

now we know that human body can sustain maximum acceleration of 30 g without any fatal

so here in order to find the stopping distance with survival condition we can say

`v_f^2 - v_i^2 = 2 a d`

`0 - (34.72)^2 = 2(-30* 9.8)d`

`d = 2.05 m`