# a point tranversed half the distace with a velocity a (v0).the remaining part of the distance was covered with velocity v1 for half the time,&with velocity v2for the other half of the time.Find the mean velocity of the point averaged over the whole time of motion.

Chetan Mandayam Nayakar
312 Points
13 years ago

Dear Kaustav,

let d be the total distance. first half is covered in time d/2v0, let 2t be time for second half, v1t + v2t = d/2

t=d/(2(v1+v2)). mean velocity=d/((d/2v0)+ d/(v1+v2))=2v0(v1+v2)/(v1+v2+2v0)

All the best.

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SAGAR SINGH - IIT DELHI
879 Points
13 years ago

Dear kaustav,

let D be the total distance. first half is covered in time D/2v0, let 2t be time for second half, v1t + v2t = D/2

t=D/(2(v1+v2)). mean velocity=D/(D/2v0)+ D/(v1+v2))=2v0(v1+v2)/(v1+v2+2v0)

All the best.

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