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, wherethe arguments of the cosine and sine are in radians and the units of the position vectoris 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?

Answered: Image /qna-images/answer/2d0f9b18-b34c-4e38-94ec-4664d164d8cf.jpg

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?

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?

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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