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A particle moves in a straight line with uniform acceleration. Its velocity at time $t = 0$ is $v_{1}$ and at time $t = t$ is $v_{2}$ .The average velocity of the particle in this time interval is $\frac{v_{1} + v_{2}}{2}$ .
Is this statement true or not?

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True

False

None of the above

Both

answer is B.

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Detailed Solution

$v = u + a t$

i.e. v-t function is linear. In linear function.

$average value = \frac{(final value + initial value)}{2} ∴ v_{a v} = \frac{v_{f} + v_{i}}{2} = \frac{v_{1} + v_{2}}{2}$

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