6. On a sunny day after an ice storm, a chunk of ice melts off a tall tree branch and falls to the ground under free fall acceleration, narrowly missing a physics student walking by. After recovering from this close call the student notes that it took one fifth of a second for the falling chunk to go from their eye level to the ground. Knowing that while they're walking their eye is 1.5 m above the ground they deduce the height of the tree branch above the ground. What is it?
6. On a sunny day after an ice storm, a chunk of ice melts off a tall tree branch and falls to the ground under free fall acceleration, narrowly missing a physics student walking by. After recovering from this close call the student notes that it took one fifth of a second for the falling chunk to go from their eye level to the ground. Knowing that while they're walking their eye is 1.5 m above the ground they deduce the height of the tree branch above the ground. What is it?
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Transcribed Image Text:6. On a sunny day after an ice storm, a chunk of ice melts off a tall tree branch and falls to the
ground under free fall acceleration, narrowly missing a physics student walking by. After
recovering from this close call the student notes that it took one fifth of a second for the falling
chunk to go from their eye level to the ground. Knowing that while they're walking their
1.5 m above the ground they deduce the height of the tree branch above the ground. What is it?
eye
is
Expert Solution
Step 1
Let the distance of the branch from the ground be x meters. While the distance from the eye level of the student to the ground is 1.5 m.
Thus the distance between the branch and the eye level of the student will be (x-1.5) m
The chunk of ice falling under free fall, takes a time equal to one fifth of a second to fall from the eye level of the student to the ground, a distance of 1.5 m.
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