The x-coordinate of a particle in curvilinear motion is given by x = 4.9t³-5.2t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 1.6t. If the particle has y-components y = 0 and vy = 4.5 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 2.0 sec. Sketch the path for the first 2.0 seconds of motion, and show the velocity and acceleration vectors for t = 2.0 sec. Answers: V= a= ft/sec ft/sec²

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.10: Modeling Variation
Problem 4E
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The x-coordinate of a particle in curvilinear motion is given by x = 4.9t³ - 5.2t where x is in feet and t is in seconds. The y-component of
acceleration in feet per second squared is given by ay = 1.6t. If the particle has y-components y = 0 and vy = 4.5 ft/sec when t = 0, find
the magnitudes of the velocity v and acceleration a when t = 2.0 sec. Sketch the path for the first 2.0 seconds of motion, and show the
velocity and acceleration vectors for t = 2.0 sec.
Answers:
V=
a =
i
i
ft/sec
ft/sec²
Transcribed Image Text:The x-coordinate of a particle in curvilinear motion is given by x = 4.9t³ - 5.2t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 1.6t. If the particle has y-components y = 0 and vy = 4.5 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 2.0 sec. Sketch the path for the first 2.0 seconds of motion, and show the velocity and acceleration vectors for t = 2.0 sec. Answers: V= a = i i ft/sec ft/sec²
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