The position of a particle as a function of time is given by: F(t) = (8t + 6t³)i + (10-2t²)ĵ where r is in meters and t is in seconds. (a) What is the displacement of the particle between t = 5 s and t = 10 s? (Hint: Start by find r(t1) and r(t2). Then find the displacement between those two vectors.) (b) What is the equation for the particle's velocity as a function of time? (c) What is the equation for the particle's acceleration as a function of time?

The position of a particle as a function of time is given by: F(t) = (8t + 6t³)i + (10-2t²)ĵ where r is in meters and t is in seconds. (a) What is the displacement of the particle between t = 5 s and t = 10 s? (Hint: Start by find r(t1) and r(t2). Then find the displacement between those two vectors.) (b) What is the equation for the particle's velocity as a function of time? (c) What is the equation for the particle's acceleration as a function of time?

College Physics

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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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2. The position of a particle as a function of time is given by:
F(t) = (8t + 6t³)i + (10-2t²)ĵ
where r is in meters and t is in seconds.
(a) What is the displacement of the particle between t = 5 s and t = 10 s?
(Hint: Start by find r(t₁) and r(t2). Then find the displacement between
those two vectors.)
(b) What is the equation for the particle's velocity as a function of time?
(c) What is the equation for the particle's acceleration as a function of time?
(d) Calculate the magnitude of the total velocity at t = 8 s.
(e) Calculate the magnitude of the total acceleration at t = 8 s.
cessibility: Investigate
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