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Catchingupquickly

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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?