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Homework Statement
A cantaloupe with a mass of 0.45 kg falls out of a tree house that is 5.4 meters above the ground. It hits a tree branch at a speed of 6.3 m/s. How high is the tree branch from the ground?
Homework Equations
## \Delta h = \frac {v_i^2 - v_f^2} {2g} ##
The Attempt at a Solution
Given:
g = 9.80 ## m/s^2 ##
inital velocity = 0
final velocity = 6.3 m/s
mass = 0.45 kg (but here it's a red herring)
## \Delta h = \frac {0 - (6.3 m/s)^2} {(2) 9.80 m/s^2}
\\= \frac {-39.69} {19.6} ##
= -2.025 meters
So 5.4 meters - 2.025 meters = 3.375 or 3.38 meters above the ground.
Am I correct?