Verification technique: Every term in an equation must have the same dimensions.

Example: Check s = ut + \frac{1}{2}$$at^2

• [s] = [L]
• [ut] = [$LT^{-1}$][T] = [L] ✓
• [$at^2$] = [$LT^{-2}$][$T^2$] = [L] ✓

Deriving unknown relations: If T (time of flight) depends on u, g, theta: T = k * $u^a$ * $g^b$ * (theta is dimensionless) [T] = [$LT^{-1}$]^a * [$LT^{-2}$]^b => L: 0 = a + b => b = -a => T: 1 = -a - 2b = -a + 2a = a => a = 1, b = -1 => T = k * u/g (which matches T = 2sin(theta) * u/g)