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I don't think we can explicitly get tested on 3U concepts although maybe it can be applied to induction?

You probably see lots of solutions which state that F=ma. This is Newton's second law which is a staple of resisted motion and so knowing this is a must. As for the other laws, it's unlikely that maths will touch on it since mech questions usually like to analyse the motion of the particle...

Is this textbook by any chance terry lee? Ik for a fact that some of his questions uses out-of-syllabus concepts such as Newton's method, cross product and the capital pi notation.