Free Fall (from rest):

• u = 0, a = g = 9.8 m/$s^2$ (taking downward positive)
• v = gt, s = \frac{1}{2}$$gt^2, $v^2$ = 2gs
• Distance in nth second: $s_n$ = g$\frac{2n-1}{2}$

Distances in successive seconds from rest (ratio): 1 : 3 : 5 : 7 : 9 ... (Odd number sequence — Galileo's law)

Vertical throw upward (upward positive):

• u = +$v_0$, a = -g
• Time to reach max height: $t_{up}$ = $\frac{v_0}{g}$
• Max height: H = $v_0$^$\frac{2}{2g}$
• Total time of flight: T = 2$v_0$/g
• Speed at any height h: v = sqrt($v_0^2$ - 2gh)

Symmetry: Time of ascent = Time of descent (for same level). Speed at any height during ascent = speed at same height during descent.