1. A particle initially located at the origin has a constant acceleration of a = 3.00j m/s and an initial velocity of v = 5.00i m/s. (a) Find the position (r) and velocity (v) as a function of time in unit vector notation. (b) Find the coordinates and velocity of the particle at t = 2.00 s (express this velocity as a magnitude and direction). Answers: (a) r = (5.00t i+ 1.50t2 j) m, v = (5.00i+ 3.00t j) m/s (b) (10.0, 6.00) m, 7.81 m/s @ 50.2°

1. A particle initially located at the origin has a constant acceleration of a = 3.00j m/s and an initial velocity of v = 5.00i m/s. (a) Find the position (r) and velocity (v) as a function of time in unit vector notation. (b) Find the coordinates and velocity of the particle at t = 2.00 s (express this velocity as a magnitude and direction). Answers: (a) r = (5.00t i+ 1.50t2 j) m, v = (5.00i+ 3.00t j) m/s (b) (10.0, 6.00) m, 7.81 m/s @ 50.2°

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Description: 1. A particle initially located at the origin has a constant acceleration ofa = 3.00j m/s? and an initial velocity of v = 5.00i m/s. (a) Find the position (r)and velocity (v) as a function of time in unit vector notation. (b) Find thecoordinates and

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Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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1. A particle initially located at the origin has a constant acceleration of
a = 3.00j m/s? and an initial velocity of v = 5.00i m/s. (a) Find the position (r)
and velocity (v) as a function of time in unit vector notation. (b) Find the
coordinates and velocity of the particle at t = 2.00 s (express this velocity as a
magnitude and direction).
Answers: (a) r = (5.00t i + 1.50t2 j) m, v = (5.00i + 3.00t j) m/s
(b) (10.0, 6.00) m, 7.81 m/s @ 50.2°

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