9. Assume there is an object whose distance from a fixed point is determined by s(t) = t2 +1' (a) Determine the velocity v(t) of the object at time t. (b) Estimate the distance that the object has travelled between t = 1 and t = 3 by applying the midpoint approximation and n = 6. (c) Use s(t) to determine how far the object has actually travelled between t = 1 and t = 3.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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9. Assume there is an object whose distance from a fixed point is determined by
t2
s(t)
t2 +1"
(a) Determine the velocity v(t) of the object at time t.
(b) Estimate the distance that the object has travelled between t = 1 and t = 3 by
applying the midpoint approximation and n = 6.
(c) Use s(t) to determine how far the object has actually travelled between t =
1 and
t = 3.
Transcribed Image Text:9. Assume there is an object whose distance from a fixed point is determined by t2 s(t) t2 +1" (a) Determine the velocity v(t) of the object at time t. (b) Estimate the distance that the object has travelled between t = 1 and t = 3 by applying the midpoint approximation and n = 6. (c) Use s(t) to determine how far the object has actually travelled between t = 1 and t = 3.
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