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The Position Vector of a Particle Is R(t) t=0t = 0

Question 3

Multiple Choice

The position vector of a particle is r(t) . Find the requested vector.
-The velocity at t=0t = 0 for r(t) =ln(t33t2+4) i2t+36j5cos(t) k\mathbf { r } ( \mathrm { t } ) = \ln \left( \mathrm { t } ^ { 3 } - 3 \mathrm { t } ^ { 2 } + 4 \right) \mathbf { i } - \sqrt { 2 \mathrm { t } + 36 } \mathbf { j } - 5 \cos ( \mathrm { t } ) \mathbf { k }


A) v(0) =14i16j\mathbf { v } ( 0 ) = \frac { 1 } { 4 } \mathbf { i } - \frac { 1 } { 6 } \mathrm { j }
B) v(0) =16j\mathbf { v } ( 0 ) = \frac { 1 } { 6 } \mathbf { j }
C) v(0) =16j\mathbf { v } ( 0 ) = - \frac { 1 } { 6 } \mathrm { j }
D) v(0) =14i112j+5k\mathbf { v } ( 0 ) = \frac { 1 } { 4 } \mathbf { i } - \frac { 1 } { 12 } \mathbf { j } + 5 \mathbf { k }

Correct Answer:

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