The water is filled upto height of 12 m in a tank having vertical sidewalls. A hole is made in one of the walls at a depth 'h' below the water level. The value of 'h' for which the emerging stream of water strikes the ground at the maximum range is _____ m.

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    Vishal Baghel | Contributor-Level 10

    a month ago

    Range R = v*t = √ (2gh) * √ (2 (H-h)/g) = 2√ (h (H-h).
    For R to be max, dR/dh = 0.
    h (H-h) must be max. d/dh (Hh-h²)=H-2h=0.
    h=H/2 = 12/2=6m.

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