Mechanical/potential Engergy work / speed help

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SUMMARY

The discussion focuses on calculating the speed of Tarzan at the bottom of a swing using principles of mechanical energy and conservation of energy. For a 28.4 m long vine inclined at 37° from the vertical, the initial speed is zero, leading to a calculation based on gravitational potential energy converting to kinetic energy. The second scenario introduces an initial speed of 2.72 m/s, requiring the application of energy conservation principles to find the final speed at the bottom of the swing.

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austin1250
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Alright I need a little help. It's finding the speed of something using mechanical energy, work or power.

The question is
Tarzan swings on a 28.4 m long vine initially inclined at an angle of 37° from the vertical.

(a) What is his speed at the bottom of the swing if he starts from rest?

Ok I am bascily already stuck here. It only gives 3 variables. I know that he initiall has 0 velocity because he is starting from rest. I have an angle and a distance. I don't know what to do here. my guess is something to do with the work formula since it gives distance but yeah any help?

(b) What is his speed at the bottom of the swing if he starts with an initial speed of 2.72 m/s?

Same goes for this one
 
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HINT: Consider conservation of energy.
 

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