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For t > 0, a particle moves along the x-axis. The velocity of the particle at time t is given by v (t) = cos(). (a) At time t = 4, is the particle speeding up or slowing down? Why? (b) Find all times t in the interval 0 < t <3 when the particle changes direction. Justify your answer.

For t > 0, a particle moves along the x-axis. The velocity of the particle at time t is given by v (t) = cos(). (a) At time t = 4, is the particle speeding up or slowing down? Why? (b) Find all times t in the interval 0 < t <3 when the particle changes direction. Justify your answer.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Fort > 0, a particle moves along the x-axis. The velocity of the particle at time t is given by v (t) = 1/cos ( ² ). 3 (a) At time t 4, is the particle speeding up or slowing down? Why? (b) Find all times t in the interval 0 < t < 3 when the particle changes direction. Justify your answer. =
Transcribed Image Text:Fort > 0, a particle moves along the x-axis. The velocity of the particle at time t is given by v (t) = 1/cos ( ² ). 3 (a) At time t 4, is the particle speeding up or slowing down? Why? (b) Find all times t in the interval 0 < t < 3 when the particle changes direction. Justify your answer. =
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