The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 10.75t+2.00t2-0.25t3 and y = 6.68 +31.88t - 3.33t2, 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 = 4 s. Also, determine the first time that the velocity of the particle makes an angle of 38° with the positive x-axis. Answers: V = a= ( i i i S i+ i i+ i j) mm/s j) mm/s²

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
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 6P: At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of...
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The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 10.75t+2.00t² -0.25t³
and y = 6.68 +31.88t - 3.33t2, 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 = 4 s. Also, determine the first time that the velocity of
the particle makes an angle of 38° with the positive x-axis.
Answers:
V=
a
t =
( i
i
i
i+
i+
S
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 = 10.75t+2.00t² -0.25t³ and y = 6.68 +31.88t - 3.33t2, 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 = 4 s. Also, determine the first time that the velocity of the particle makes an angle of 38° with the positive x-axis. Answers: V= a t = ( i i i i+ i+ S i i j) mm/s j) mm/s2
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