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°

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 3P: A particle initially located at the origin has an acceleration of a=3.00jm/s2 and an initial...
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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°
Transcribed Image Text: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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