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).

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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