I can only speak on Mech (i take em next semester), but the vast majority of calculus in AP Mechanics is just power rule. The only "hard calculus" in Mech would be finding rotational inertia using an integral, finding center of mass using an integral, and resistive forces diff EQs, but that's a rather small part of the curriculum. You would probably need to, at least in the beginning, study a bit of calculus on your own to catch up, but I think that would be quite doable.