Question

Show on the dimensional Analysis that v^2 - u^2 = 2as where u is the initial velocity, v is the final velocity, a is the acceleration due to gravity and s is the distance moved

Answer 1

Perform the dimensional analysis:

[v]=[m/s],\\ [a]=[m/s^2],\\ [d]=[m].\\\space\\ [m/s]^2=[m/s^2]·m,\\ m^2/s^2=m·m/s^2,\\ m^2/s^2=m^2/s^2.