Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position. a(t) = 2i + 6tj + 12t² k, v(0) = i, r(0) = 6j7k v(t) = r(t)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position.

a(t) = 2 i + 6t j + 12t2 k,    v(0) = i,    r(0) = 6 j − 7 k
Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position.
=
2i + 6tj + 12t²k, v(0) = i, r(0) = 6j - 7k
v(t)
r(t)
=
a(t)
Transcribed Image Text:Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position. = 2i + 6tj + 12t²k, v(0) = i, r(0) = 6j - 7k v(t) r(t) = a(t)
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