5. The velocity function for a moving object is v(t) = < −2t +9, (7− t)², ½t² 1 -t, where distances are in centimeters and time is in seconds. The position at t = 3 is known: r(3) = < 11,-12,5 >. Find the position function r(t).

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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5. The velocity function for a moving object is v(t) = < −2t +9, (7− t)², ½t² 1
-t, where distances are in
centimeters and time is in seconds. The position at t = 3 is known: r(3) = < 11,-12,5 >. Find the position function r(t).
Transcribed Image Text:5. The velocity function for a moving object is v(t) = < −2t +9, (7− t)², ½t² 1 -t, where distances are in centimeters and time is in seconds. The position at t = 3 is known: r(3) = < 11,-12,5 >. Find the position function r(t).
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