Consider an astronaut on a large planet in another galaxy. To learn more about the composition of this planet, the astronaut drops an electronic sensor into a deep trench The sensor transmits its vertical position every second in relation to the astronaut's position The summary of the falling sensor data is displayed in the following table Time after. dropping (e) 0 1 2 3 4 S Position (m) 0 -1 -2 -5 -6
Consider an astronaut on a large planet in another galaxy. To learn more about the composition of this planet, the astronaut drops an electronic sensor into a deep trench The sensor transmits its vertical position every second in relation to the astronaut's position The summary of the falling sensor data is displayed in the following table Time after. dropping (e) 0 1 2 3 4 S Position (m) 0 -1 -2 -5 -6
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:(a) Using a calculator or computer program, find the best fit quadratic curve to measure the position of the sensor (in m) as a function of t. the time (ns) after the sensor
is dropped [Round all numerical values to four decimal places)
P(O)-
(b) Find the derivative of the position function from part (a).
PTZ) -
Explain the physical meaning of the derivative
The derivative of the position function gives the c
of the-Select- as a function of t
(c) Find the second derivative of the position function from part (a).
P (²) -
Explain the physical meaning of the second derivative
The second derivative of the position function gives the Select of the -Select- as a function of t. It is Seed
Transcribed Image Text:Consider an astronaut on a large planet in another galaxy. To learn more about the composition of this planet, the astronaut drops an electronic sensor into a deep trench
The sensor transmits its vertical position every second in relation to the astronaut's position
The summary of the falling sensor data is displayed in the following table
Time after
dropping (e)
0
1
2
3
4
5
Position (m)
0
-1
-2
-5
-6
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