*Determine if the following equations are dimensionally correct.*

x = x_{o} + v_{o} t + (1/2) a t^{2} |
where x is the displacement at time t
x _{o} is the displacement at time t = 0
vo is the velocity at time t = 0 a is the constant acceleration |

P = | where P is pressure
r is density g is gravitational acceleration h is height |

ln N_{d}/N_{a} = - [ Vgh_{d}(r
-r_{l})] / kT |
where N_{d }and N_{a} are number of
particles, V is volume, g is gravitational acceleration, h _{d }is distance, r
and r_{l} are
densitites, k is Boltzmann's constant with SI units of joules per kelvin, and T is absolute temperature. |