https://imgur.com/a/PIBrI

img_1016-min.jpg

https://imgur.com/a/7IPo0

img_1018-min.jpg

This part is all to do with Newton's third law that can be used to derive the momentum expression (which will describe the velocities of the cars involved in the collision), since the rate of change of momentum of an object is directly proportional to the resultant force applied and is in the direction of the resultant force. The resultant force is equal to the rate of change of momentum.

There's also another question I have:

The trampoline spring provides a force against you and because your going in the opposite direction to the force being applied i.e. head on it provides a retarding force (so an acceleration that acts to slow down the moving object), but remember back to Newton's first law - inertia stating that the object wants to continue moving in a straight line and as you get faster your inertia increases and therefore the force required to stop you is much greater and the trampoline is unable to support that

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