Please show me how to solve this problem. A person wearing a shoulder harness can survive a car crash if the acceleration is less that -300 m/s2. How far must the front end collapse if it crashes while going 101 km/hr?

Question

Thanks.

Answer 1

101 km/h = 28.06 m/s

To decelerate from velocity V in a distance X at a rate of a = 300 m/s^2,
V = sqrt(2 a X)

X = V^2/(2 a) = 1.3 meters

This assumes the crash is into an immovable object, so that all deceleration is achieved by collapsing the front end. A collision with another car or a soft barrier might have a different result. This is a good approximation for a head-on collision with a similar car.

Answer 2

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Answer 3

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The Math Behind the Law How much force is Mike applying to the 1000 kg car to make it accelerate at a rate of .05 m/s2?

Answer 4

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