3. A particle moves according to the position vector F(t) = cos ti+ sin 3t j+ 2t k, where the arguments of the cosine and sine are in radians and the units of the position vector is in meters. Find: (a) The velocity ū. - (sin t)î +(3 cas 36)+2 le (b) The acceleration a. 2=-(cost) E-(9 sin 3Ed (c) Describe the trajectory of the particle. (d) What is the particle's speed at t = 1 seconds? y:3.68m/s (e) What is the angle that the position vector makes with the r axis at t = 1 seconds?

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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Can part d be checked and I don't know how to do part c and e

3. A particle moves according to the position vector (t) = cos ti+ sin 3t j+ 2t k, where
the arguments of the cosine and sine are in radians and the units of the position vector
is in meters. Find:
COS
(a) The velocity ū. - (sin t)î+(3 cas 36+2l2
(b) The acceleration a.
2=-(cos t) Ĉ -(9 sin 3t)s
(c) Describe the trajectory of the particle.
(d) What is the particle's speed at t 1 seconds? y: 3.68m/s
(e) What is the angle that the position vector makes with the x axis at t = 1 seconds?
Transcribed Image Text:3. A particle moves according to the position vector (t) = cos ti+ sin 3t j+ 2t k, where the arguments of the cosine and sine are in radians and the units of the position vector is in meters. Find: COS (a) The velocity ū. - (sin t)î+(3 cas 36+2l2 (b) The acceleration a. 2=-(cos t) Ĉ -(9 sin 3t)s (c) Describe the trajectory of the particle. (d) What is the particle's speed at t 1 seconds? y: 3.68m/s (e) What is the angle that the position vector makes with the x axis at t = 1 seconds?
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