3. r (2 1n(1+ t))i + (t²)j + tk t=1

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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= (e*)i+ (2cos 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= (e*)i+ (2cos 3t)j + (2 sin 3t)k t= %3D
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