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23 Nov 2019

The small archerfish (length 20 to 25 cm) lives in brackish watersof Southeast Asia from India to the Philippines. This aptly namedcreature captures its prey by shooting a stream of water drops atan insect, either flying or at rest. The bug falls into the waterand the fish gobbles it up. The archerfish has high accuracy atdistances of 1.2 m to 1.5 m, and it sometimes makes hits atdistances up to 3.5 m. A groove in the roof of its mouth, alongwith a curled tongue, forms a tube that enables the fish to imparthigh velocity to the water in its mouth when it suddenly closes itsgill flaps. Suppose the archerfish shoots at a target that is 1.55m away, measured along a line at an angle of 30.0° above thehorizontal. With what velocity must the water stream be launched ifit is not to drop more than 2.00 cm vertically on its path to thetarget?

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