How far does Joe fall when Anastasia falls from a tree?

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AI Thread Summary
Anastasia falls from a height of 39.0 meters, and Joe falls 0.8 seconds later from the same height. To determine how far Joe falls when Anastasia reaches the ground, kinematic equations must be applied. First, calculate the time it takes for Anastasia to hit the ground using the equation for free fall. Then, use Joe's reduced flight time to find the distance he falls before Anastasia lands. The problem emphasizes the importance of sketching and methodically applying kinematics to solve for the distances involved.
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Homework Statement


While exploring the canopy of the rainforest in equatorial South America, Anastasia falls from a branch 39.0 meters high. Exactly 0.8 seconds later Joe falls from the same branch. How high above the ground is Joe when Anastasia splats into the mud below? (the mud is very squishy and nobody is injured)
*hint: Make an accurate sketch. Use kinematics to solve for the time it takes the first person to reach the mud. Then use kinematics to solve for how far the second person falls in their reduced flight time.


Homework Equations


V=Vo+at
X=Xo+Vot+1/2at^2
V^2=Vo^2+2a(X-Xo)

The Attempt at a Solution


I sketched it out like it told me too, but I still didn't know where to go from getting all of the knowns. X=39 m t=0.8 s
 
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When you find yourself at a loss for ideas, try to compute things that might be useful even if you are not sure how they might be useful. For example: how long did it take Anastaisia to fall? [edit: actually, the hint tells you to do exactly that]
 
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