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Question Number 71053 by jagannath19 last updated on 11/Oct/19

Commented by jagannath19 last updated on 11/Oct/19

explain

$${explain} \\ $$

Answered by mr W last updated on 11/Oct/19

let V=speed on the ground  (1/2)mV^2 =mgH+(1/2)mv^2   ⇒V=(√(2gH+v^2 ))  V is independent from the direction  ⇒(4) is correct

$${let}\:{V}={speed}\:{on}\:{the}\:{ground} \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}{mV}^{\mathrm{2}} ={mgH}+\frac{\mathrm{1}}{\mathrm{2}}{mv}^{\mathrm{2}} \\ $$$$\Rightarrow{V}=\sqrt{\mathrm{2}{gH}+{v}^{\mathrm{2}} } \\ $$$${V}\:{is}\:{independent}\:{from}\:{the}\:{direction} \\ $$$$\Rightarrow\left(\mathrm{4}\right)\:{is}\:{correct} \\ $$

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