Rectilinear Motion (constant a):

• v = u + at
• s = ut + (1/2)at^2
• v^2 = u^2 + 2as
• s_n = u + a(2n-1)/2
• Average velocity (equal distances) = 2v_1*v_2/(v_1+v_2)
• Average velocity (equal times) = (v_1+v_2)/2

Projectile Motion:

• T = 2u*sin(theta)/g
• H = u^2*sin^2(theta)/(2g)
• R = u^2sin(2theta)/g
• Trajectory: y = xtan(theta) - gx^2/(2u^2cos^2(theta))
• At top: v = ucos(theta), KE = (1/2)mu^2cos^2(theta)
• Radius of curvature at top: r = u^2*cos^2(theta)/g

Free Fall:

• Distance ratios in successive seconds from rest: 1:3:5:7...
• v = sqrt(2gh), t = sqrt(2h/g)

Relative Velocity:

• v_{A/B} = v_A - v_B (vector)
• Rain angle: theta = arctan(v_man/v_rain)