Rectilinear Motion (constant a):

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

Projectile Motion:

• T = 2u*sin$\frac{theta}{g}$
• H = $u^2$*sin^2$$\frac{theta}{(2g)}
• R = $u^2$*sin$\frac{2*theta}{g}$
• Trajectory: y = x*tan(theta) - gx^$\frac{2}{2u^2*cos^2(theta}$)
• At top: v = ucos(theta), KE = \frac{1}{2}$$mu^2$cos^2$(theta)
• Radius of curvature at top: r = $u^2$*cos^2$$\frac{theta}{g}

Free Fall:

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

Relative Velocity:

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