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a body covers 1/3 part of its journey with a velocity of 2 m/s , next 1/3 part with a velocity of 3m/s and rest journey with a velocity 6m/s .The average velocity of the body will be
Asked by tripathiji9876good | 10 Jan, 2024, 04:22: PM

Let x be the total distance travelled . Let us assume the entire journey is performed in a straight line .

If 1/3 of journey is travelled by velocity 2 m/s , then time duration t1 of first part of journey is

If next 1/3 of journey is travelled by velocity 3 m/s , then time duration t2 of second part of journey is

Remaining part of journey = 1 - (1/3) - (1/3) = 1/3

If remaining part of journey is travelled by velocity 6 m/s , then time duration t3 of third part of journey is

Total time T = t1 + t2 + t3 =  (x/6) + (x/9) + (x/18) s =  x/3  s

If the entire journey is performed in a straight line , then total distance travelled equals displacement.

Average velocity = ( displacement ) / ( Total time ) = x / (x/3)  = 3 m/s

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