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.

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)

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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)

Please feel free to ask your queries here. We are all IITians and here to help you in your IIT JEE preparation.

All the best.

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