If x = a + bt + ct^2, where is x in metre and t in seconds, what is the unit of c?

Question

If x = a + bt +ct² , where x is in metre and t in seconds, what is the unit of c ?

Answer 1

The unit of left-hand side (i.e. x) is metre so the units of cl² should also be metre. Since t² has unit of s² , so the unit of c is m/s² .