The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 10.75t +2.25t² - 0.40t³ and y= 6.03 + 22.55t - 3.15t², 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 = 5 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 i+ i j) mm/s

The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 10.75t +2.25t² - 0.40t³ and y= 6.03 + 22.55t - 3.15t², 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 = 5 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 i+ i j) mm/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 10.75t+2.25t² -0.40t³ and y = 6.03 +
22.55t - 3.15t², 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 = 5 s. Also, determine the first time that the velocity of the particle makes an angle of 28° with the
positive x-axis.
Answers:
V =
a =
t =
i + i
S
+
i
j) mm/s
j) mm/s²

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