23.25t-3.38t², where x and y are in millimeters and the time t is in seconds, beginning from t = 0. Determine the velocity v and acceleration a of the particle when t = 4 s. Also, determine the first time that the velocity of the particle makes an angle of 36° with th positive x-axis.

23.25t-3.38t², where x and y are in millimeters and the time t is in seconds, beginning from t = 0. Determine the velocity v and acceleration a of the particle when t = 4 s. Also, determine the first time that the velocity of the particle makes an angle of 36° with th positive x-axis.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter6: Fundamental Dimensions And Units

Section: Chapter Questions

Problem 49P

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Question

The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 10.75t+2.00+² -0.40t³ and y = 5.53 +
23.25t-3.38t², where x and y are in millimeters and the time t is in seconds, beginning from t = 0. Determine the velocity v and
acceleration a of the particle when t = 4 s. Also, determine the first time that the velocity of the particle makes an angle of 36° with the
positive x-axis.
Answers:
V = (i
a =
t =
(i
i
it i
i+i
S
j) mm/s
j) mm/s²

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