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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.
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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