$\text { Find the velocity vector in terms of } u _ { r } \text { and } u _ { \theta } \text {. }$

question 37

Multiple Choice

$\text { Find the velocity vector in terms of } u _ { r } \text { and } u _ { \theta } \text {. }$
- $\mathrm { r } = \mathrm { a } ( 2 - \cos \theta )$ and $\frac { \mathrm { d } \theta } { \mathrm { dt } } = 7$

• A) \(\mathbf { v } = ( 7 a \sin \theta ) \mathbf { u } _ { \mathrm { r } } + 7 \mathrm { a } ( 2 - \cos \theta ) \mathbf { u } _ { \theta }\)
• B) \(\mathbf { v } = ( 7 a \cos \theta ) \mathbf { u } _ { \mathrm { r } } + 7 \mathrm { a } ( 2 - \sin \theta ) \mathbf { u } _ { \theta }\)
• C) \(\mathbf { v } = 7 a ( 2 - \cos \theta ) \mathbf { u } _ { \mathbf { r } } + ( 7 \mathrm { a } \sin \theta ) \mathbf { u } _ { \theta }\)
• D) \(\mathbf { v } = ( 2 a \sin \theta ) \mathbf { u } _ { \mathrm { r } } + 2 \mathrm { a } ( 7 - \cos \theta ) \mathbf { u } _ { \theta }\)

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