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walking

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However, I am not sure why I am finding it difficult to model the situation when the box is only pushed once. I think it has something to do with impulses, eg if someone is running in one direction and someone pushes them to the right then their directoin will change slightly. However I don't know the maths behind this in order to be able to model it. I have a feeling it is really simple but I am just not seeing it.

A similar scenario would be someone sliding on ice and being pushed momentarily backwards. How do his suvat variables change? Let's say his initial speed was ##v_0## and his acceleration was ##-f_k## (kinetic friction). What happens when someone momentarily (rather than continuously) pushes him backwards to try to make him stop? I don't know why but I am finding this difficult to model.

Any help would be appreciated.