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= t= (i (i i+ i i+ S i j) mm/s j) mm/s²

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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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 =
t =
IN
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 = 10.75t + 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 = t = IN i+ i+ i S j) mm/s j) mm/s²
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