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?

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Physics

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30 April, 13:48

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?

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Isabela Cummings · Answer 1

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)