Answer to Question #282078 in Mechanics | Relativity for Lee

Question

Is the equation v = v0 + ax dimensionally correct?

Answer 1

$v =v_0+a*x$

$\text{Dimension:}$

$v- [\frac{L}{T}]$

$v_0- [\frac{L}{T}]$

$a- [\frac{L}{T^2}]$

$x -[L]$

$[\frac{L}{T}]\not =[\frac{L}{T}]+[\frac{L^2}{T^2}]$

$1\not =1+[\frac{L}{T}]$

$\text{Answer: equation is not dimensionally correct}$