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the human body can survive an acceleration traumaincident (sudden stop) if the m

ID: 1751655 • Letter: T

Question

the human body can survive an acceleration traumaincident (sudden stop) if the magnitude of the acceleration is250m/s2 . if you are in automobile accident with aninitial speed of 105 km/hr (65mi/hr) and you are stooped by an airbag that inflates from thedashboard, over what distance must the airbag stop you for you tosurvive the crush the human body can survive an acceleration traumaincident (sudden stop) if the magnitude of the acceleration is250m/s2 . if you are in automobile accident with aninitial speed of 105 km/hr (65mi/hr) and you are stooped by an airbag that inflates from thedashboard, over what distance must the airbag stop you for you tosurvive the crush

Explanation / Answer

the human body can survive an acceleration traumaincident (sudden stop) if the magnitude of the acceleration is250m/s2 So a = - 250m/s2 Initial speed (vo) = 105km/h                          = (105)(5/18)m/s                          = 29.2 m/s Final speed (v) = 0 Now the distance traveled is calculated as                  S = (v2 - vo2) / (2a)                     = [0 - (29.2m/s)2] / [2(- 250m/s2)]                     = 1.70m Initial speed (vo) = 105km/h                          = (105)(5/18)m/s                          = 29.2 m/s Final speed (v) = 0 Now the distance traveled is calculated as                  S = (v2 - vo2) / (2a)                     = [0 - (29.2m/s)2] / [2(- 250m/s2)]                     = 1.70m