$$ \vec F = m\vec a (NII) \\ \vec T_{net} = I \vec \alpha \\ \vec J = \vec {\Delta p} = \vec F {net} \Delta t \\ \Delta Ek = W{net} $$
$$ \vec a = 0,\ \vec v= 0,\ \vec \alpha = 0, \ \vec \omega= 0 $$
$$ \vec T = \vec r \vec F\\ |\vec T| = r |\vec F| sin \theta $$
$$ \vec F_{net} = m\vec a \\ $$
Two bodies moving in straight lines with constant a
$$ \vec a = -g \hat {j} $$
$$ \vec V = V_x \hat i + V_y \hat j \\ = |\vec V|(cos \theta \hat i +sin \theta \hat j) $$
$$ \frac 1 2 |\vec V_f|^2 = \frac 1 2 |\vec {V_i}|^2 + g\Delta h $$
$$ \frac 1 2 V_f^2 = \frac 1 2 V_i^2 + gh $$
$$ |\vec a| = r w^2 \\ = \frac {v^2} r $$
Centripetal force