Equations or process to determine the result of a collision between two objects?

When looking to design armor - how can I determine whether a given ballistic object would completely stop, deflect into another direction, or penetrate another object given complete physical information on the two objects and nature of the collision, including material makeup, shape, or any other variables?

Even if we can't know exactly - due to various limitations - what equations or process would we use to go about making our best guess?

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Equations or process to determine the result of a collision between two objects?

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