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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23fcefd2-d2ed-4146-8516-7ea8803af7cc%2Ffe5911d5-69df-497b-adaf-454d30196fb1%2F6co14pv_processed.jpeg&w=3840&q=75)
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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