The human body can survive a negative acceleration trauma incident (sudden stop) if the magnitude of the acceleration is less than 250 m/s2 (approximately 25g). if you are in an automobile accident with an initial speed of 76 km/h (47 mi/h) and are stopped by an airbag that inflates from the dashboard, over what distance must the airbag stop you if you are to survive the crash?

Respuesta :

Let d = the required stopping distance of the air bag.
The initial velocity is
u = 76 km/h
   = (76000/3600 m/s)
  = 21.111 m/s

The maximum acceleration (actually deceleration) is -250 m/s².
The final velocity is zero, therefore
0² = (21.111 m/s)² + 2*(-250 m/s²)*(d m)
Obtain
d = 0.8914 m

Because the acceleration decreases when the stopping distance increases, a stopping distance of 1 m would be a good design choice.

Answer:
The stopping distance is 0.9 m (nearest tenth)