a body covers first 1/3 part of journey with velocity 2m/s, next 1/3 part with velocity 3m/s and rest of the journey with velocity 6m/s. find average velocity of the body.

 

Average velocity = total displacement/ total time taken 

Let the total displacement be s.

 

Thus, time taken for the first 1/3 part of journey is 

= (s/3)/2  =s/6 

Time taken for the second part of journey

=(s/3)/3 = s/ 9 

Time taken for third part of journey is

= (s/3)/6 = s/18 

 

Thus, total time taken to complete this journey is 

=(s/6)+(s/9)+(s/18)

= (s/3) x (6/6) = s/3 

Thus, t =s/3 

 

So, average velocity = s/(s/3) = 3 m/s 

 

Thus, average velocity of the body = 3m/s