- The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 10.75t+2.25t² – 0.45t³ and y = 6. 17.43t - 2.62t2, 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 = 8 s. Also, determine the first time that the velocity of the particle makes an angle of 30° wit positive x-axis. Answers: V = (i 17.1 i+ i 5.24 j) mm/s

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 10.75t +2.25t² - 0.45t³ and y = 6.90 +
17.43t - 2.62t², 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 = 8 s. Also, determine the first time that the velocity of the particle makes an angle of 30° with the
positive x-axis.
Answers:
V =
a =
17.1
10.75
i + i 5.24
i+
i
17.43
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 - 0.45t³ and y = 6.90 + 17.43t - 2.62t², 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 = 8 s. Also, determine the first time that the velocity of the particle makes an angle of 30° with the positive x-axis. Answers: V = a = 17.1 10.75 i + i 5.24 i+ i 17.43 j) mm/s j) mm/s²
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