The unit of left hand side is metre so the units of c${{t}^{2}}$ should also be metre. Since ${{t}^{2}}$ has unit of ${{s}^{2}}$, so the unit of c is m/${{s}^{2}}$

The unit of left hand side is metre so the units of c${{t}^{2}}$ should also be metre. Since ${{t}^{2}}$ has unit of ${{s}^{2}}$, so the unit of c is m/${{s}^{2}}$