The position of an object is given by x = 2${{t}^{2}}$ +3t.Find out that its motion is uniform and non-uniform.

As given , x = ${{2t}^{2}}$ + 3t

By differentiating x w.r.t. t we get velocity

v =dx / dt = d/dt (${{2t}^{2}}$ + 3t)

v= 4t+ 3

As velocity is time dependent, it means that motion is non-uniform.