Consider an object moving along a line with the following velocity and initial position. v(t) = -t +6t-8t on [0,5]; s(0) = 5 Determine the position function for t20 using both the antiderivative method and the Fundamental Theorem of Calculus. Check for agreement between the two methods. ... O D. The position function is the antiderivative of the velocity function. Which equation below will correctly give the position function according to the Fundamental Theorem of Calculus? O A. s(t)= s(0) + J v(t)dt O B. s(t) = s(0) + Į v(x)dx 0 a O C. s(t) = J v(t)dt O D. s(0) = s(t) + J v(x)dx Determine the position function for t20 using both methods. Select the correct choice below and fill in the answer box(es) to complete your choice. O A. The same function is obtained using each method. The position function is s(t) = O B. Different functions are obtained using each method. The position function obtained using the antiderivative method is s(t) = obtained using the Fundamental Theorem of Calculus is s(t) =| and the position function

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter4: Nonlinear Oscillations And Chaos
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14.
Consider an object moving along a line with the following velocity and initial position.
v(t) = -t +6t-8t on [0,5]; s(0) = 5
Determine the position function for t20 using both the antiderivative method and the Fundamental Theorem of Calculus. Check for agreement between the two
methods.
....
O D. The position function is the antiderivative of the velocity function.
Which equation below will correctly give the position function according to the Fundamental Theorem of Calculus?
O A. s(t) = s(0)+ J v(t)dt
O B. s(t) = s(0) + J v(x)dx
a
OC. s() = v()dt
O D. s(0) = s(t) + J v(x)dx
Determine the position function for t20 using both methods. Select the correct choice below and fill in the answer box(es) to complete your choice.
A. The same function is obtained using each method. The position function is s(t) =
O B. Different functions are obtained using each method. The position function obtained using the antiderivative method is s(t) =
obtained using the Fundamental Theorem of Calculus is s(t) =|
and the position function
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Transcribed Image Text:Consider an object moving along a line with the following velocity and initial position. v(t) = -t +6t-8t on [0,5]; s(0) = 5 Determine the position function for t20 using both the antiderivative method and the Fundamental Theorem of Calculus. Check for agreement between the two methods. .... O D. The position function is the antiderivative of the velocity function. Which equation below will correctly give the position function according to the Fundamental Theorem of Calculus? O A. s(t) = s(0)+ J v(t)dt O B. s(t) = s(0) + J v(x)dx a OC. s() = v()dt O D. s(0) = s(t) + J v(x)dx Determine the position function for t20 using both methods. Select the correct choice below and fill in the answer box(es) to complete your choice. A. The same function is obtained using each method. The position function is s(t) = O B. Different functions are obtained using each method. The position function obtained using the antiderivative method is s(t) = obtained using the Fundamental Theorem of Calculus is s(t) =| and the position function Next Copyright © 2021 Pearson Education Inc. All rights reserved. | Terms of Use I Privacy Policy I Permissions I Contact Us | e here to search
Determine the position function for t20 using both methods. Select the correct choice below and fill in the answer box(es) to complete your choice.
O A. The same function is obtained using each method. The position function is s(t) =
OB. Different functions are obtained using each method. The position function obtained using the antiderivative method is s(t) = and the position function
obtained using the Fundamental Theorem of Calculus is s(t) =.
Next
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Transcribed Image Text:Determine the position function for t20 using both methods. Select the correct choice below and fill in the answer box(es) to complete your choice. O A. The same function is obtained using each method. The position function is s(t) = OB. Different functions are obtained using each method. The position function obtained using the antiderivative method is s(t) = and the position function obtained using the Fundamental Theorem of Calculus is s(t) =. Next Copyright © 2021 Pearson Education Inc. All rights reserved. I Terms of Use | Privacy Policy | Permissions Contact e to search Chp AA prt sc delete 144 & backspace 9. %D 5 7 R Y U 1O CO
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