Question
The position of an object is given by $x=2 t^2+3 t$. Find out that its motion is uniform and non-uniform.
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Answer
As given, $x=2 t^2+3 t$ By differentiating x w.r.t. t, we get Velocity, $\text{v}=\frac{\text{dx}}{\text{dt}}=\frac{\text{d}}{\text{dt}}(2\text{t}^2+3\text{t})$ $\text{v}=(4\text{t}+3)$ As velocity is time dependent, it means that motion is non-uniform.
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