Calculating Tarzan's Height on a Vine at 8.0 m/s - Grade 11 Question

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To determine how high Tarzan will swing above the bottom of his arc, the conservation of energy (COE) equation is applied. The equation simplifies to 0 = -0.5 mvi^2 + mgzf, where vf is zero at the peak of the swing and zi is set to zero. By substituting Tarzan's mass of 60 kg and his initial velocity of 8.0 m/s into the equation, zf, which represents the height above the bottom of the swing, can be calculated. The key variables in the equation include mass (m), initial velocity (vi), gravitational acceleration (g), and final height (zf). This method effectively allows for the calculation of Tarzan's maximum height during the swing.
LiquidIce
The question is something like this I am not sure exactly because it was on my test.

Tarzan is running at 8.0 m/s and jumps onto a vine. How high above the bottom of his swing will he go ?

Plz help i have no clue how to do this
 
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Put what you have into a COE equation.
0= .5mvf^2 - .5 mvi^2 + mgzf - mgzi

vf=0 at top of swing
zi=0 in my reference frame

so 0= -.5 mvi^2 + mgzf

and solve for zf.
 
um...whats zf stand for
 
What you are looking for. (How high above the bottom of his swing will he go)

You know what the others stand for right?
 
i just found out that they also gave the mass of tarzan in the question the mass is 60kg
 

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