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 sensortransmits 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 afterPosition (m)dropping (s)1.-1-23-44-85-14(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 (in s) after the sensor is dropped.(Round all numerical values to four decimal places.)P(t) =(b) Find the derivative of the position function from part (a).p'(t) =tive.wncor yıve(c) Find the second derivative of the position function from part (a).p "(t) =LApiam pyThe ---nd dorivative f the nocition functio-

The general form of a quadratic function is as follows: ⇒ f(x)=ax2+bx+c…

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 Position (m) dropping (s) -1 -2 -4 4 -8 -14 (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 (in s) after the sensor is dropped. (Round all numerical values to four decimal places.) p(t) =

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 Position (m) dropping (s) -1 -2 -4 4 -8 -14 (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 (in s) after the sensor is dropped. (Round all numerical values to four decimal places.) p(t) =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.4: Combining And Decomposing Functions

Problem 18E

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