This weekend I observed a squirrel running across the roof of the my house. The squirrel attempted to jump to a tree. The poor squirrel had bad luck and fell short of the tree. I am happy to report that the squirrel was unharmed and landed on the ground safely. The mathematician in me analyed the situation and came up with the following: Let: h= squirrel (ft) t-time (sec) Equation: h=-161²+ 10t + 18. 1. At 0.313 seconds, the squirrel reaches the peak of her trajectory. How high was the squirrel before she began to fall? 2. How high was the squirrel before she jumped? 3. About how long was the squirrel in the air (from the time she left the roof to hitting the ground?) (When would h= 0 ft)
This weekend I observed a squirrel running across the roof of the my house. The squirrel attempted to jump to a tree. The poor squirrel had bad luck and fell short of the tree. I am happy to report that the squirrel was unharmed and landed on the ground safely. The mathematician in me analyed the situation and came up with the following: Let: h= squirrel (ft) t-time (sec) Equation: h=-161²+ 10t + 18. 1. At 0.313 seconds, the squirrel reaches the peak of her trajectory. How high was the squirrel before she began to fall? 2. How high was the squirrel before she jumped? 3. About how long was the squirrel in the air (from the time she left the roof to hitting the ground?) (When would h= 0 ft)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:This weekend I observed a squirrel running across the roof of the my house. The squirrel attempted to
jump to a tree. The poor squirrel had bad luck and fell short of the tree. I am happy to report that the
squirrel was unharmed and landed on the ground safely. The mathematician in me analyed the situation
and came up with the following:
Let:
h= squirrel (ft)
t-time (sec)
Equation:
h= -16t² + 10t + 18
1. At 0.313 seconds, the squirrel reaches the peak of her trajectory. How high was the squirrel before
she began to fall?
2.
How high was the squirrel before she jumped?
3. About how long was the squirrel in the air (from the time she left the roof to hitting the ground?)
(When would h= 0 ft)
4. Using the information from questions #1-3, sketch the graph the represents the squirrel's height
vs. time. Label your both axis.
5. From the equation, how fast was the squirrel running when she jumped?
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