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Chilukuri Sai Kartik Grade: 12
        

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.

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

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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7 years ago
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