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Part of JME-01 — Kinematics: Rectilinear & Projectile Motion

Kinematic Equations Master Reference

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The Five SUVAT Equations (Constant Acceleration Only)

#	Equation	Missing Var
1	v = u + at	s
2	s = ut + $\frac{1}{2}$$at^2$	v
3	$v^2$ = $u^2$ + 2as	t
4	s = (u+v)t/2	a
5	$s_n$ = u + a $\frac{2n-1}{2}$	v (nth second)

Dimensional check for Eq 2: [s] = [L], [ut] = [ $LT^{-1}$ ][T] = [L], [ $\frac{1}{2}$$at^2$ ] = [ $LT^{-2}$ ][ $T^2$ ] = [L]. Consistent.

Critical condition: These equations are INVALID for variable acceleration. Use calculus (v = $\frac{ds}{dt}$ , a = $\frac{dv}{dt}$ ) instead.

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