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

Answer:

$d = 2.05 m$

Explanation:

Speed of the car is given as

$v = 125 km/h$

here we know that

$v = 125 \times \frac{1000}{3600}$

$v = 34.72 m/s$

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

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

$0 - (34.72)^2 = 2(-30\times 9.8)d$

$d = 2.05 m$