The velocity of a particle (in meters per second) is given by v = 16t²i + 4t³ j + (5t + 2)k, where t is in seconds. If the particle is at the origin when t = 0, determine the magnitude of the particle's acceleration when t = 2 s. Also, what is the x, y, z coordinate position of the particle at this instant?

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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Question 1 *
5 points
The velocity of a particle (in meters per second) is given by v = 16t²i + 4t³ j+
(5t + 2)k, where t is in seconds. If the particle is at the origin when t = 0,
determine the magnitude of the particle's acceleration when t = 2 s. Also, what is
the x, y, z coordinate position of the particle at this instant?
a = 75.16 m s^-2 ;r = (36.67, 10, 8) m
a = 80.16 m s^-2;r = (42.67, 16, 14) m
a = 85.16 m s^-2;r = (48.67, 24, 20) m
None of the choices
Transcribed Image Text:Question 1 * 5 points The velocity of a particle (in meters per second) is given by v = 16t²i + 4t³ j+ (5t + 2)k, where t is in seconds. If the particle is at the origin when t = 0, determine the magnitude of the particle's acceleration when t = 2 s. Also, what is the x, y, z coordinate position of the particle at this instant? a = 75.16 m s^-2 ;r = (36.67, 10, 8) m a = 80.16 m s^-2;r = (42.67, 16, 14) m a = 85.16 m s^-2;r = (48.67, 24, 20) m None of the choices
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