Find the Acceleration of a Particle with the Given Position $\mathbf { r } ( t ) = 9 \sin t \mathbf { i } + 10 t \mathbf { j } - 8 \cos t \mathbf { k }$

question 49

Multiple Choice

Find the acceleration of a particle with the given position function. $\mathbf { r } ( t ) = 9 \sin t \mathbf { i } + 10 t \mathbf { j } - 8 \cos t \mathbf { k }$

• A) \(\mathbf { a } ( t ) = - 9 \sin t \mathbf { i } - 9 \cos t \mathbf { j }\)
• B) \(\mathbf { a } ( t ) = - 9 \sin t \mathbf { i } + 9 \cos t \mathbf { j }\)
• C) \(\mathbf { a } ( t ) = - 9 \sin t \mathbf { i } + 10 \cos t \mathbf { k }\)
• D) \(\mathbf { a } ( t ) = - 9 \sin t \mathbf { i } + 8 \cos t \mathbf { k }\)
• E) \(\mathbf { a } ( t ) = 9 \sin t \mathbf { i } - 10 t \mathbf { k }\)

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Definitions:

Rejection Region

The range of values for which the null hypothesis is not considered likely and is rejected in a statistical test.

Nonparametric Tests

Statistical tests that do not assume the data come from a particular distribution, often used when dealing with ordinal data or when the normality assumption is violated.

Parametric Tests

Statistical tests based on assumptions about the population distribution from which the sample is drawn, typically involving parameters like mean and standard deviation.

Normal Approximation

A method used to estimate the shape of a binomial distribution using a normal distribution when the sample size is large.