When an archerfish is hunting, its body shape allows it toswim very close to the

Question

When an archerfish is hunting, its body shape allows it toswim very close to the water surface and look upward withoutcreating a disturbance. The fish can then bring the tip of itsmouth close to the surface and shoot the drops of water at theinsects resting on overhead vegetation or floating on the watersurface. Here are my answers. I am know each one ofthem are wrong. I would like to try and find out what the correctanswer is. Thank you. 0.520 2.51 2.61 0.193 6.21 0.475 0.866 0.347 0.600 3.03 0. The archerfish is a type of fish well known for its ability tocatch resting insects by spitting a jet of water at them. Thisspitting ability is enabled by the presence of a groove in the roofof the mouth of the archerfish. The groove forms a long, narrowtube when the fish places its tongue against it and propels dropsof water along the tube by compressing its gill covers. When an archerfish is hunting, its body shape allows it toswim very close to the water surface and look upward withoutcreating a disturbance. The fish can then bring the tip of itsmouth close to the surface and shoot the drops of water at theinsects resting on overhead vegetation or floating on the watersurface. At what speed should an archerfish spit the water to shoot down a floating insectlocated at a distance 0.800 from the fish? Assume that the fish is located very closeto the surface of the pond and spits the water at an angle above the water surface. Answer is 3.01m/s. Some archerfish can shoot as far as 3.5 , hitting their targets with reasonable accuracy asfar as 1.2 . They have binocular vision, which helps them judgedistance. Now assume that the insect, instead offloating on the surface, is resting on a leaf above the watersurface at a horizontal distance 0.600 away from the fish. The archerfish successfully shootsdown the resting insect by spitting water drops at the same angle 60 degree above the surface and with the same initial speedas before. At what height above the surface was the insect? Here are my answers. I am know each one ofthem are wrong. I would like to try and find out what the correctanswer is. Thank you.

Explanation / Answer

Let me try this again,apparently I made a mistake somewhere, and I assumed you had partA, but here goes...
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The time to max height is half the total time inflight
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the time to max height is found with:
0=v(i)sin(60)-gt
t=v(i)sin(60)/g
2t=2v(i)sin(60)/g
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The range is:
d =0.800=v(i)cos(60)*2v(i)sin(60)/g
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solve for v(i):
v=3.01 m/s
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Part B:
y(t)=d=3.01sin(60)t-.5gt^2
x(t)=d=0.600=3.01cos(60)t
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first solve for t from the x equation and plug into y to find d
t=0.399
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y(t)=d=3.01sin(60)t-.5gt^2
d=0.26 m
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Hope this helps.

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