Statement (I): An object subjected to velocit | vedclass

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(C) Statement $(I)$ is incorrect because the resultant velocity magnitude is given by the vector addition formula: $|\vec{v}| = \sqrt{|\vec{v_1}|^2 +

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Statements $II, III$ are true, but Statement $I$ is false

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(C) Statement $(I)$ is incorrect because the resultant velocity magnitude is given by the vector addition formula: $|\vec{v}| = \sqrt{|\vec{v_1}|^2 + |\vec{v_2}|^2 + 2|\vec{v_1}| |\vec{v_2}| \cos 	heta}$. It is only equal to the sum of magnitudes if the vectors are in the same direction $(	heta = 0^\circ)$.Statement $(II)$ is correct because displacement is the shortest distance between two points, while path length is the total distance covered. Thus, displacement $\leq$ distance.Statement $(III)$ is correct by definition. Instantaneous acceleration is defined as $\vec{a} = \lim_{\Delta t ightarrow 0} \frac{\Delta \vec{v}}{\Delta t}$.

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