Find out that its motion is uniform and non-uniform

CBSE Class 11 CBSE Class 11 Physics
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1

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

2

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.