Explain, in terms of impulse and momentum, how airbags help avoid injury in a car crash?

airbags work like a air suspension, When collision occurs the body experiencing the force will gain a large momentum in shory interval of time hence large impulse will be there.

If such high momentum body comes in contact of a hard surface like the car dash-board all the momentum becomes zero in very short interval of time, resulting in high force on the body thus causes injuries.

The air bags reduces this time upon collision hence minimal force is exerted. Thus reducing the injuries.

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we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .