The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 10.75t +2.25t² - 0.40t³ and y= 6.03 + 22.55t - 3.15t², 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 = 5 s. Also, determine the first time that the velocity of the particle makes an angle of 28° with the positive x-axis. Answers: v = (i i+ i j) mm/s

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter3: Motion In Two Dimensions
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Problem 6P: At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of...
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The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 10.75t+2.25t² -0.40t³ and y = 6.03 +
22.55t - 3.15t², 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 = 5 s. Also, determine the first time that the velocity of the particle makes an angle of 28° with the
positive x-axis.
Answers:
V =
a =
t =
i + i
S
+
i
j) mm/s
j) mm/s²
Transcribed Image Text:The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 10.75t+2.25t² -0.40t³ and y = 6.03 + 22.55t - 3.15t², 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 = 5 s. Also, determine the first time that the velocity of the particle makes an angle of 28° with the positive x-axis. Answers: V = a = t = i + i S + i j) mm/s j) mm/s²
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