s = ut + (1/2)at²

where:

* s is the displacement (distance traveled)

* u is the initial velocity

* t is the time

* a is the acceleration

...has the dimension of length (L).

Here's why:

* s is a distance, which has the dimension of length (L).

* ut has the dimension of velocity (L/T) multiplied by time (T), which simplifies to length (L).

* (1/2)at² has the dimension of acceleration (L/T²) multiplied by time squared (T²), which also simplifies to length (L).

Since all the terms on the right side of the equation have the dimension of length, the entire equation must also have the dimension of length.