How Fast Should Archer Fish Shoot Water to Hit a Spider?

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SUMMARY

The problem involves calculating the required speed of a water droplet shot by an archer fish to hit a spider located 43 cm horizontally and 30 cm vertically above the water surface. The droplet is launched at an angle of 62° above the horizontal. To solve this, one must analyze the horizontal motion using constant velocity equations and the vertical motion using uniformly accelerated motion equations. The final speed can be determined by combining the results from both motion analyses.

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  • Familiarity with kinematic equations for constant velocity and uniformly accelerated motion
  • Ability to perform vector decomposition of motion
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hey guys i need some help on a physics problem that i cannot get. please help me out when you get a chance. thanks!

An archer fish launches a droplet of water from the surface of a small lake at an angle of 62° above the horizontal. He is aiming at a juicy spider sitting on a leaf 43 cm to the east and on a branch 30 cm above the water surface. The fish is trying to knock the spider into the water so that the fish can eat the spider.
(a) What must the speed of the water droplet be for the the fish to be successful?
 
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Split the motion into constant velocity motion in x and uniformly accelerated motion in y. If you really need more help you'll have to help us by attempting to do the problem and posting the attempt.
 

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