A body moves in straight line with velocity $v_{1}$ for $1 / 3^{\text {rd }}$ time and for remaining time…

A body moves in straight line with velocity $v_{1}$ for $1 / 3^{\text {rd }}$ time and for remaining time with $v_{2}$. Find average velocity.
  1. $\frac{\mathrm{v}_{1}}{3}+\frac{2 \mathrm{v}_{2}}{3}$
  2. $\frac{\mathrm{v}_{1}}{3}+\frac{\mathrm{v}_{2}}{3}$
  3. $\frac{2 v_{1}}{3}+\frac{v_{2}}{3}$
  4. $\mathrm{v}_{1}+\frac{2 \mathrm{v}_{2}}{3}$

Solution

$\mathrm{v}_{\mathrm{av}}=\frac{\mathrm{v}_{1} \mathrm{t} / 3+\mathrm{v}_{2}(2 \mathrm{t} / 3)}{\mathrm{t}}=\frac{\mathrm{v}_{1}}{3}+\frac{2 \mathrm{v}_{2}}{3}$ .

Asked in: JEE Mains - Motion In One Dimension - Test 1

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