6) A particle moves along a curvilinear path denoted by r = (t³ − 4t)i + (t² + 4t)j + (8t² − 3t³)k, where 't' denotes time. Find the magni- tudes of acceleration components tangent to the path, and normal to the path at time t = 2.5. u hint: for a vector u: |u|= √/u²+u²+u²_ the unit vector is û =. |u|

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6) A particle moves along a curvilinear path denoted by
r = (t³ − 4t)i + (t² + 4t)j + (8t² − 3t³)k, where 'f' denotes time. Find the magni-
tudes of acceleration components tangent to the path, and normal to the path at
time t = 2.5.
hint: for a vector u: |u| = √√u²+u²+u² the unit vector is û
|u|
Transcribed Image Text:6) A particle moves along a curvilinear path denoted by r = (t³ − 4t)i + (t² + 4t)j + (8t² − 3t³)k, where 'f' denotes time. Find the magni- tudes of acceleration components tangent to the path, and normal to the path at time t = 2.5. hint: for a vector u: |u| = √√u²+u²+u² the unit vector is û |u|
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