Suppose that a turtle is moving along a straight line, and its displacement s(t) at any given time t (minutes) is given by the formula

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Suppose that a turtle is moving along a straight line,
and its displacement s(t) at any given time t
(minutes) is given by the formula
s(t) = (1 – VP + 3 + v3) units, 1 > 0.
VP + 3 + V3 ) units, t> 0.
(a) Compute the average velocity of the turtle on the
interval [1, 2].
(b) Using a limit, compute the instantaneous velocity
of the turtle at time t :
1 minute.
(c) For the rest of the turtle's life it stays on the same
straight line and moves according to the function s(t)
given above. Where along the line does the turtle
eventually end up in the long run?
Transcribed Image Text:Suppose that a turtle is moving along a straight line, and its displacement s(t) at any given time t (minutes) is given by the formula s(t) = (1 – VP + 3 + v3) units, 1 > 0. VP + 3 + V3 ) units, t> 0. (a) Compute the average velocity of the turtle on the interval [1, 2]. (b) Using a limit, compute the instantaneous velocity of the turtle at time t : 1 minute. (c) For the rest of the turtle's life it stays on the same straight line and moves according to the function s(t) given above. Where along the line does the turtle eventually end up in the long run?
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