JEE Class main Answered

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