A particle moves such that its velocity at time t is given by v=3t² i + 2 cos(4t)j + t² k. If its position x at time t = 0 is given by x(0) = 2i, what is the position of the particle at time t? Enter i for i, j for j and k for k, so to enter 2i + 3j type 2*i+3*j Note that your answer will not be shown using bold i, j and k below. The position is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A particle moves such that its velocity at time t is given by
v=3t² i + 2 cos(4t)j + t² k.
If its position x at time t = 0 is given by x(0) = 2 i, what is the position of the particle at time t?
Enter i for i, j for j and k for k, so to enter 2i + 3j type 2*i+3*j
Note that your answer will not be shown using bold i, j and k below.
The position is
Transcribed Image Text:A particle moves such that its velocity at time t is given by v=3t² i + 2 cos(4t)j + t² k. If its position x at time t = 0 is given by x(0) = 2 i, what is the position of the particle at time t? Enter i for i, j for j and k for k, so to enter 2i + 3j type 2*i+3*j Note that your answer will not be shown using bold i, j and k below. The position is
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