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A block moves in a straight line with ve...

A block moves in a straight line with velocity v for time `t_0.` Then, its velocity becomes 2v for next `t_0` time. Finally, its velocity becomes 3v for time T. If average velocity during the complete journey was 2. 5 v, then find T in terms of `t_0.`

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The correct Answer is:
D
Average speed =`("Total distance")/("Total time")`
`:. 2.5v=(v_0t+2vt_0+3vT)/(t_0+t_0+T)`
Solving, we get `T=4t_0`
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