JEE Advance - Physics (2008 - Paper 2 Offline - No. 1)
STATEMENT-2: If the observer and the object are moving at velocities $${\overrightarrow v _1}$$ and $${\overrightarrow v _2}$$ respectively with reference to a laboratory frame, the velocity of the object with respect to the observer is $${\overrightarrow v _2}$$ - $${\overrightarrow v _1}$$.
Explanation
Statement 1 is True.
For a moving observer, the nearly objects appear to move in the opposite direction at a large speed. This is because the angular speed of the nearby object w.r.t to observer is large. As the object moves away, the angular velocity decreases and therefore its speed seems to be less. The distant object almost remains stationary.
Statement 2 is True but related to relative velocity
$${\overline V _{21}} = {\overline V _{2G}} - {\overline V _{1G}}$$
Where, G = Laboratory frame
Thus, both the statement are true but statement 2 is not the correct explanation of statement 1.
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