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

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SUMMARY

Anastasia falls from a height of 39.0 meters, and Joe falls 0.8 seconds later from the same height. To determine how high Joe is above the ground when Anastasia reaches the mud, kinematic equations are utilized. The time it takes for Anastasia to fall is calculated using the equation X = Xo + Vot + 1/2at^2. Subsequently, Joe's fall distance is computed based on the reduced flight time of 0.8 seconds.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Basic knowledge of free fall and gravitational acceleration
  • Ability to sketch and visualize motion problems
  • Familiarity with solving quadratic equations
NEXT STEPS
  • Calculate the time it takes for Anastasia to fall 39.0 meters using kinematic equations
  • Determine Joe's fall distance using the time difference of 0.8 seconds
  • Explore the implications of air resistance on free fall
  • Review additional physics problems involving multiple objects in free fall
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Students studying physics, particularly those focusing on kinematics and free fall scenarios, as well as educators looking for practical examples to illustrate these concepts.

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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+volt+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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