Suppose the Outer Edge of a Playground Slide Is in the Shape

question 56

Multiple Choice

Suppose the outer edge of a playground slide is in the shape of a helix of radius 10.5 meters. The slide has a height of 2 meters and makes one complete revolution from top to bottom. Find a vector-valued function for the helix.

• A) \(\mathbf { r } ( t ) = 10.5 \cos t \mathbf { i } + 10.5 \sin t \mathbf { j } + t \mathbf { k } , \quad 0 \leq t \leq 4 \pi\)
• B) \(\mathbf { r } ( t ) = 10.5 \cos t \mathbf { i } + 10.5 \sin t \mathbf { j } + \frac { 1 } { \pi } t \mathbf { k } , \quad 0 \leq t \leq 2 \pi\)
• C) \(\mathbf { r } ( t ) = 10.5 \cos t \mathbf { i } + 2 \sin t \mathbf { j } + \frac { 1 } { \pi } t \mathbf { k } , \quad 0 \leq t \leq 2 \pi\)
• D) \(\mathbf { r } ( t ) = 10.5 \cos t \mathbf { i } + 10.5 \sin t \mathbf { j } + \frac { 1 } { \pi } t \mathbf { k } , \quad 0 \leq t \leq 4 \pi\)
• E) \(\mathbf { r } ( t ) = 10.5 \cos t \mathbf { i } + 2 \sin t \mathbf { j } + t \mathbf { k } , \quad 0 \leq t \leq 4 \pi\)

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