2. Assume that a particle, initially at the origin, travels in space with a velocity of V = cos(rt)î + (5 – 101)ĵ – k, where t stands for time. (a) What is the acceleration of the particle as a function of time? (b) What is the position of the particle as a function of time? (c) Which component(s) of the particle's position vector will become zero again once the particle leaves the origin?

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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2. Assume that a particle, initially at the origin, travels in space with a velocity of
V = cos(at)î + (5 – 10t)f – k, where t stands for time.
(a) What is the acceleration of the particle as a function of time?
(b) What is the position of the particle as a function of time?
(c) Which component(s) of the particle's position vector will become zero again
once the particle leaves the origin?
Transcribed Image Text:2. Assume that a particle, initially at the origin, travels in space with a velocity of V = cos(at)î + (5 – 10t)f – k, where t stands for time. (a) What is the acceleration of the particle as a function of time? (b) What is the position of the particle as a function of time? (c) Which component(s) of the particle's position vector will become zero again once the particle leaves the origin?
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