A body moves in straight line with velocity v1 for 13rd of time and for remaining time with v2- Find the average velocity of body-

As we know that, average velocity of the body is given by Total displacementTotal time ⇒ v_avg = v_1 ( t3 ) + v_2 ( 2t3 )t=v_13 + 2v_23 ...

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Byju's Answer

Standard XII

Physics

Average velocity

A body moves ...

Question

A body moves in straight line with velocity $v_{1}$ for ${(\frac{1}{3})}^{r d}$ of time and for remaining time with $v_{2}$ . Find the average velocity of body.

\frac{v_{1}}{3} + \frac{2 v_{2}}{3}

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\frac{v_{1}}{3} + \frac{v_{2}}{3}

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\frac{2 v_{1}}{3} + \frac{v_{2}}{3}

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v_{1} + \frac{2 v_{2}}{3}

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Solution

The correct option is A $\frac{v_{1}}{3} + \frac{2 v_{2}}{3}$
As we know that, average velocity of the body is given by
$\frac{Total displacement}{Total time}$
$\Rightarrow v_{avg} = \frac{v_{1} (\frac{t}{3}) + v_{2} (\frac{2 t}{3})}{t} = \frac{v_{1}}{3} + \frac{2 v_{2}}{3}$

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Similar questions

Q. A person travelling on a straight line moves with a uniform velocity v₁ for some time and with uniform velocity v₂ for the next equal time. The average velocity v is given by
(a)

v = \frac{v_{1} + v_{2}}{2}

(b)

v = \sqrt{v_{1} v_{2}}

(c)

\frac{2}{v} = \frac{1}{v_{1}} + \frac{1}{v_{2}}

(d)

\frac{1}{v} = \frac{1}{v_{1}} + \frac{1}{v_{2}}

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A body moves in straight line with velocity v1 for (13)rd of time and for remaining time with v2. Find the average velocity of body.

The correct option is A v13+2v23As we know that, average velocity of the body is given by Total displacementTotal time ⇒ vavg=v1(t3)+v2(2t3)t=v13+2v23

A body moves in straight line with velocity $v_{1}$ for ${(\frac{1}{3})}^{r d}$ of time and for remaining time with $v_{2}$ . Find the average velocity of body.

The correct option is A $\frac{v_{1}}{3} + \frac{2 v_{2}}{3}$
As we know that, average velocity of the body is given by
$\frac{Total displacement}{Total time}$
$\Rightarrow v_{avg} = \frac{v_{1} (\frac{t}{3}) + v_{2} (\frac{2 t}{3})}{t} = \frac{v_{1}}{3} + \frac{2 v_{2}}{3}$