The archerfish hunts by dislodging an unsuspecting insect fromits resting place

Question

The archerfish hunts by dislodging an unsuspecting insect fromits resting place with a stream of water expelled from the fish'smouth. Suppose the archerfish squirts water with a speed of 1.9 m/sat an angle of 47.0 degrees above the horizontal, and aims for abeetle on a leaf 3.0 cm above the water's surface.          (a) Atwhat horizontal distance from the beetle should the archerfish fireif it is to hit its target in the leasttime?               cm             (b)How much time will the beetle have toreact?           Seconds. The archerfish hunts by dislodging an unsuspecting insect fromits resting place with a stream of water expelled from the fish'smouth. Suppose the archerfish squirts water with a speed of 1.9 m/sat an angle of 47.0 degrees above the horizontal, and aims for abeetle on a leaf 3.0 cm above the water's surface.          (a) Atwhat horizontal distance from the beetle should the archerfish fireif it is to hit its target in the leasttime?               cm             (b)How much time will the beetle have toreact?           Seconds.

Explanation / Answer

(a)

         From equationof motion we have :

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