Find the Scalar Tangential and Normal Components of Acceleration of a Particle

question 93

Multiple Choice

Find the scalar tangential and normal components of acceleration of a particle with position vector $\mathbf { r } ( t ) = 3 \sin t \mathbf { i } + 3 \cos t \mathbf { j } + 5 t \mathbf { k }$

• A) \(\quad a _ { \mathbf { T } } = 0 , a _ { \mathrm { N } } = 3\)
• B) \(a _ { \mathbf { T } } = 5 , a _ { \mathbf { N } } = 3\)
• C) \(a _ { \mathbf { T } } = 0 , a _ { \mathrm { N } } = 3 \sqrt { 26 }\)
• D) \(a _ { \mathbf { T } } = 5 , a _ { \mathrm { N } } = 3 \sqrt { 26 }\)

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Definitions:

Average Cost

A method of cost valuation that calculates the cost of goods sold and inventory based on the average cost of all similar items in inventory.

Fixed Manufacturing Overhead

Costs that do not vary with the level of production, such as rent, salaries, and equipment depreciation, associated specifically with manufacturing.

Financial Advantage

The benefit gained in financial terms, which can result in better profitability or cost savings.

Fixed Manufacturing Expenses

Costs associated with production that do not vary with the level of output, including salaries of permanent staff and depreciation of machinery.