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A large water tank has a hole in its wall near the bottom the water level above the hole is 4.9m. The horizontal distance from the hole at which the water touches the ground, if the bottom of water tank is 4.9m above the ground

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9.8 cm

98 m

9.8 m

980 m

answer is C.

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Detailed Solution

Range $R = u \sqrt{\frac{2 h}{g}} = \sqrt{2 {gh}_{0}} \sqrt{\frac{2 h}{g}} = 2 \sqrt{h_{0}} \sqrt{h}$

Where h₀ is the depth of the hole from the top and h is the height of the hole from the bottom.

$here h_{0} = h = 4.9 m R = 2 \sqrt{4.9} \sqrt{4.9} = 9.8 m$

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