Relationship between velocity and stopping distance

[Twickel]

Homework Statement

Determines the relationship between velocity and stopping distance linking this to the force applied on the passenger or pedestrian, quantitatively.

Homework Equations

The Attempt at a Solution

I have not found any so please provide relevant equations and examples so I can understand.

 

[Defennder]

In order to stop a moving object a force has to be applied against the direction of motion. That force, when applied to the object would cause an acceleration in the direction opposite to the direction of motion of the moving object by Newton's second law. That would mean the object in effect decelerates. You have the initial velocity, the negative acceleration and the final velocity (at rest). From here you should be able to see how to write a few equations using some formulae from dynamics and Newton's laws.