d) Determine the values of t for which the ant changes direction. Justify your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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737. An ant moves along the r-axis so that at time t its position is given by x(t) = 2 cos (5t2),
for values of t in the interval [-1,1].
a) Find an expression for the velocity of the ant at any given time t.
b) Find an expression for the acceleration at any given time t.
c) Determine the values of t for which the ant is moving to the right. Justify your answer.
d) Determine the values of t for which the ant changes direction. Justify your answer.
10)
Transcribed Image Text:737. An ant moves along the r-axis so that at time t its position is given by x(t) = 2 cos (5t2), for values of t in the interval [-1,1]. a) Find an expression for the velocity of the ant at any given time t. b) Find an expression for the acceleration at any given time t. c) Determine the values of t for which the ant is moving to the right. Justify your answer. d) Determine the values of t for which the ant changes direction. Justify your answer. 10)
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