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A block moves in a straight line with velocity v for time to.Then, its velocity becomes 2v for next to time.Finally,its velocity becomes 3v for time T. If avge.velocity during complete journey was 2.5v, then find T in terms of to.

Chilukuri Sai Kartik , 14 Years ago
Grade 12
anser 1 Answers
Badiuddin askIITians.ismu Expert

Last Activity: 14 Years ago

Dear Chilukuri Kartik

distance travels in time t0 with velocity v=vt0

distance travels in time next t0 with velocity 2v=2vt0

distance travels in time T with velocity 3v=3vT

total distance =vt0 +2vt0 +3vT

total time =t0 +t0 +T

so avg velocity ={vt0 +2vt0 +3vT}/{t0 +t0 +T}

                 2.5v     ={3vt0 +3vT}/2t0 +T}

or     2.5     =3{t0 +T}/2t0 +T}

simplify

T=4t0


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