Problem 2: The position of a particle is given by the following expression, where t is time measured in seconds: r(t) = [(3.65 m/s²)r²]į+ (-4.23 m)j + [(4.48 m/s³)r³]k. Part (a) What is the magnitude of the velocity of the particle, in m/s, at t = 0.00 s? Part (b) What is the magnitude of the velocity of the particle, in m/s, at t = 1.65 s? Part (c) What angle, in degrees, does the velocity of the particle make with the +z axis at t = 1.65 s? Part (d) What is the magnitude of the average velocity, in m/s, between t = 0.00 s and t = 1.65 s? Part (e) What angle, in degrees, does the average velocity between t = 0.00 s and t = 1.65 s make with the z axis?

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
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Problem 2: The position of a particle is given by the following expression, where t is time
measured in seconds: r(t) = [(3.65 m/s?)f²]į+ (-4.23 m)j + [(4.48 m/s³)r*]k.
Part (a) What is the magnitude of the velocity of the particle, in m/s, at t = 0.00 s?
Part (b) What is the magnitude of the velocity of the particle, in m/s, at t = 1.65 s?
Part (c) What angle, in degrees, does the velocity of the particle make with the +z axis at t =
1.65 s?
Part (d) What is the magnitude of the average velocity, in m/s, betweent = 0.00 s and t = 1.65
s?
Part (e) What angle, in degrees, does the average velocity between t = 0.00 s and t = 1.65 s
make with the z axis?
Transcribed Image Text:Problem 2: The position of a particle is given by the following expression, where t is time measured in seconds: r(t) = [(3.65 m/s?)f²]į+ (-4.23 m)j + [(4.48 m/s³)r*]k. Part (a) What is the magnitude of the velocity of the particle, in m/s, at t = 0.00 s? Part (b) What is the magnitude of the velocity of the particle, in m/s, at t = 1.65 s? Part (c) What angle, in degrees, does the velocity of the particle make with the +z axis at t = 1.65 s? Part (d) What is the magnitude of the average velocity, in m/s, betweent = 0.00 s and t = 1.65 s? Part (e) What angle, in degrees, does the average velocity between t = 0.00 s and t = 1.65 s make with the z axis?
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Katz, Debora M.
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