Free Fall (from rest):

• u = 0, a = g = 9.8 m/s^2 (taking downward positive)
• v = gt, s = (1/2)gt^2, v^2 = 2gs
• Distance in nth second: s_n = g(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 = v_0/g
• Max height: H = v_0^2/(2g)
• Total time of flight: T = 2v_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.