The rocket is launched at time t = 0 with r(0) = 2i - 6j+ 4k . If the initial velocity of the rocket is v(0) = 4i +1j +10k and acceleration of the rocket at the time ? is given by  a(t) =t2 i + tcost j + 16e-4tk ,then find the vector function r(t) , which describes the rocket trajectory

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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The rocket is launched at time
t = 0
with
r(0) = 2i - 6j+ 4k . If the initial velocity of the rocket
is
v(0) = 4i +1j +10k
and acceleration of the rocket at the time ? is given by
 a(t) =t2 i + tcost j + 16e-4tk ,then find the vector function
r(t)
, which describes the rocket
trajectory

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