A car covers AB distance with first one-third at velocity v 1 ms -1, second one-third at v 2 ms -1 and last one-third at v 3 ms -1. If v 3=3 v 1, v 2=2 v 1 and v 1=11 ms -1 then the average velocity of the car is ms -1.

Question

A car covers AB distance with first one-third at velocity v 1 ms -1, second one-third at v 2 ms -1 and last one-third at v 3 ms -1. If v 3=3 v 1, v 2=2 v 1 and v 1=11 ms -1 then the average velocity of the car is ms -1. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

langle v rangle=( text Displacement / text time ) (Let displacement be l ) =(ℓ/((ℓ) V 3+(ℓ) V 2+(ℓ/ V 1)) (1/3) =(3/(1) V 1+(1) V 2+(1/ V 3)=(1/11)+(1/22)+(1/33) =18 m / s

Q. A car covers $A B$ distance with first one-third at velocity $v_{1} m s^{- 1}$ , second one-third at $v_{2} m s^{- 1}$ and last one-third at $v_{3} m s^{- 1}$ . If $v_{3} = 3 v_{1}, v_{2} = 2 v_{1}$ and $v_{1} = 11 m s^{- 1}$ then the average velocity of the car is ______ $m s^{- 1}$ .

$⟨ v ⟩ = \frac{Displacement}{time}$
(Let displacement be $l$ )
$= \frac{ℓ}{( \frac{ℓ}{V _{3}} + \frac{ℓ}{V _{2}} + \frac{ℓ}{V _{1}} ) \frac{1}{3}}$
$= \frac{3}{\frac{1}{V _{1}} + \frac{1}{V _{2}} + \frac{1}{V _{3}}} = \frac{1}{11} + \frac{1}{22} + \frac{1}{33}$
$= 18 m / s$

Q. A car covers AB distance with first one-third at velocity v1​ms−1, second one-third at v2​ms−1 and last one-third at v3​ms−1. If v3​=3v1​,v2​=2v1​ and v1​=11ms−1 then the average velocity of the car is ______ms−1.

⟨v⟩= time Displacement ​ (Let displacement be l ) =(V3​ℓ​+V2​ℓ​+V1​ℓ​)31​ℓ​ =V1​1​+V2​1​+V3​1​3​=111​+221​+331​ =18m/s

Q. A car covers $A B$ distance with first one-third at velocity $v_{1} m s^{- 1}$ , second one-third at $v_{2} m s^{- 1}$ and last one-third at $v_{3} m s^{- 1}$ . If $v_{3} = 3 v_{1}, v_{2} = 2 v_{1}$ and $v_{1} = 11 m s^{- 1}$ then the average velocity of the car is ______ $m s^{- 1}$ .

$⟨ v ⟩ = \frac{Displacement}{time}$
(Let displacement be $l$ )
$= \frac{ℓ}{( \frac{ℓ}{V _{3}} + \frac{ℓ}{V _{2}} + \frac{ℓ}{V _{1}} ) \frac{1}{3}}$
$= \frac{3}{\frac{1}{V _{1}} + \frac{1}{V _{2}} + \frac{1}{V _{3}}} = \frac{1}{11} + \frac{1}{22} + \frac{1}{33}$
$= 18 m / s$