)i + (t²)j + ,tk

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Example
r(t) is the position of a particle in space at time t. Find the particles veloc-
ity and acceleration vectors. Then find the particles speed and direction
of motión at the given value of t.
ple
3. r (2 1n(1+ t))i+ (t²)j + tk t= 1
%3D
2
4. r (et)i+ (2 cos 3t)j + (2 sin 3t)k t=
%3D
Transcribed Image Text:Example r(t) is the position of a particle in space at time t. Find the particles veloc- ity and acceleration vectors. Then find the particles speed and direction of motión at the given value of t. ple 3. r (2 1n(1+ t))i+ (t²)j + tk t= 1 %3D 2 4. r (et)i+ (2 cos 3t)j + (2 sin 3t)k t= %3D
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