Statement I : An object subjected to velocities $V_{1} a n d V_{2}$ has a resultant velocity with magnitude $| V | = | V_{1} | + | V_{2} |$
Statement II : The magnitude of displacement is either less or equal to the path length of an object between two points.
Statement III : The instantaneous acceleration is the limiting value of the average acceleration as the time interval approaches zero.
Which of the following is correct?

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Statements I, II are true but statement III is false

Statements II, III are true but statement I is false

Statements I, II and III are true

Statements I, II and III are false

answer is C.

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Detailed Solution

When an object has two velocities $V_{1} a n d V_{2}$ , then magnitude of resultant velocity is $V = \sqrt{V_{1}^{2} + V_{2}^{2} + 2 V_{1} V_{2} \cos θ}$
Statement I is False
Clearly $| displacement | \leq$ distance
Statement II is correct
Instantaneous acceleration
$= \lim_{Δ t \to 0} \frac{Δ V}{Δ t} = \lim_{Δ t \to 0} a$
Statement III is correct