The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 10.00t + 1.75t² -0.25t³ and y = 6.49 + 26.68t -3.25t2, 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 36° with the positive x-axis.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
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Problem 4OQ: What is the y component of the vector (3i8k) m/s? (a) 3 m/s (b) 8 m/s (c) 0 (d) 8 m/s (e) none of...
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The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 10.00t + 1.75t² - 0.25t³ and y = 6.49 +
26.68t - 3.25t², 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 36° with the
positive x-axis.
Answers:
V =
a = (i
t=
IN
S
i+
i + i
j) mm/s
j) mm/s²
Transcribed Image Text:The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 10.00t + 1.75t² - 0.25t³ and y = 6.49 + 26.68t - 3.25t², 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 36° with the positive x-axis. Answers: V = a = (i t= IN S i+ i + i j) mm/s j) mm/s²
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