A particle initially located at the origin has an acceleration of a = 1.00ĵ m/s2 and an initial velocity of V₁ = 6.001 m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). tî + ²ĵ) m (b) Find the velocity of the particle at any time t. Î + tĵ) m/s (c) Find the coordinates of the particle at t = 4.00 s. X = y = m m (d) Find the speed of the particle at t = 4.00 s. m/s

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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A particle initially located at the origin has an acceleration of a = 1.00ĵ m/s2 and an initial velocity of ₁ = 6.00î m/s.
(a) Find the vector position of the particle at any time t (where t is measured in seconds).
tî +
t²ĵ) m
(b) Find the velocity of the particle at any time t.
Î+
tĵ) m/s
(c) Find the coordinates of the particle at t = 4.00 s.
X =
y =
m
m
(d) Find the speed of the particle at t = 4.00 s.
m/s
Transcribed Image Text:A particle initially located at the origin has an acceleration of a = 1.00ĵ m/s2 and an initial velocity of ₁ = 6.00î m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). tî + t²ĵ) m (b) Find the velocity of the particle at any time t. Î+ tĵ) m/s (c) Find the coordinates of the particle at t = 4.00 s. X = y = m m (d) Find the speed of the particle at t = 4.00 s. m/s
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