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An object has velocity $\vec{v}_{1}$ relative to the ground. An observer moving with a constant velocity $\vec{v}_{0}$ relative to the ground measures the velocity of the object to be $\vec{v}_{2}$ (relative to the observer). The magnitudes of these velocities are related by
Explanation
By definition of relative velocity $\vec{v}_{1} = \vec{v}_{0} + \vec{v}_{2} \Rightarrow \vec{v}_{0} + \vec{v}_{2} + (-\vec{v}_{1}) = 0$ $\Rightarrow v_{0}$, $v_{1}$ and $v_{2}$ will be sides of a triangle and we know that the sum of any two sides is greater than third side of the triangle.