The rectangular coordinates of a particle which moves with curvilinear motion are given by x= 9.75t+2.50t² -0.40t³ and y = 5.45 +25.04t - 3.31t², 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 = 7 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 a = (i t= i i+i i+ i S j) mm/s j) mm/s²

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 = 9.75t + 2.50t² - 0.40t³ and y= 5.45
+25.04t-3.31t², 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 = 7 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
a =
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 = 9.75t + 2.50t² - 0.40t³ and y= 5.45 +25.04t-3.31t², 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 = 7 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 a = t = i i+ i i+ i S j) mm/s j) mm/s²
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