BIO Automobile Air Bags.? The human body can survive an acceleration trauma incident (sudden stop) if the magnitude of the acceleration is less than 250 m/s2. If you are in an automobile accident with an initial speed of 105 km/h (65 mi/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?

Solution 23E Step 1 If the initial velocity of an object is u and the final velocity is v and the acceleration of the object is a, then the distance s travelled by the object is given by Now if the final velocity v = 0 then the above equation will become