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The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 10.25t + 1.00t² - 0.50t3 and y = 6.12 + 15.61t - 3.40t², 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 = (i a = (i t = i i+ i i+ i S j) mm/s j) mm/s²

The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 10.25t + 1.00t² - 0.50t3 and y = 6.12 + 15.61t - 3.40t², 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 = (i a = (i t = i i+ i i+ i S j) mm/s j) mm/s²

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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The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 10.25t+1.00t² - 0.50t3 and y = 6.12 + 15.61t - 3.40t², 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 = (i t = i i+ i i+ i S j) mm/s j) mm/s²
Transcribed Image Text:The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 10.25t+1.00t² - 0.50t3 and y = 6.12 + 15.61t - 3.40t², 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 = (i t = i i+ i i+ i S j) mm/s j) mm/s²
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