Kinematics — One-Page Exam Cheat Sheet — Summary

SUVAT: $v=u+at$ (no s); $s=ut+\frac{1}{2}at^2$ (no v); $v^2=u^2+2as$ (no t); $s_n=u+\frac{a(2n-1)}{2}$ (nth second only)
Projectile: $T=\frac{2u\sin\theta}{g}$ ; $H=\frac{u^2\sin^2\theta}{2g}$ ; $R=\frac{u^2\sin 2\theta}{g}$ ; max R at 45°; peak speed = $u\cos\theta$ (not zero)
Complementary angles: same R; $H_{60}/H_{30}=3$ ; $R_{max}=u^2/g$
Graphs: v-t slope = $a$ ; v-t area = $s$ ; x-t slope = $v$
Circular motion: $\omega=v/r$ ; $a_c=v^2/r=\omega^2 r$ toward centre; speed constant, velocity direction changes