Solve the Problem $t$ , Find the Body's Positios $\mathrm { t }$

question 73

Multiple Choice

Solve the problem.
-Given the velocity and initial position of a body moving along a coordinate line at time $t$ , find the body's positios $\mathrm { t }$ .
$v = \frac { 8 } { \pi } \sin \frac { 4 t } { \pi } , s \left( \pi ^ { 2 } \right) = 2$

• A) \(s = - 2 \cos \frac { 4 t } { \pi } + 4\)
• B) \(s = - 2 \cos \frac { 4 t } { \pi } + 8.2134\)
• C) \(s = 2 \cos \frac { 4 t } { \pi } + 4\)
• D) \(s = - 2 \cos \frac { 4 t } { \pi } + 3.3073\) time

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Definitions:

Standard Error

A measure of the variability or dispersion of a sample statistic from the population parameter it estimates.

Mean

The average of a set of numerical values, calculated by adding them together and dividing by the number of terms in the set.

Confidence Interval

An interval of values, derived from statistics gathered from a sample, expected to cover the value of a hidden parameter in a population.

Standard Error

A statistic that measures the accuracy with which a sample distribution represents a population using the standard deviation of the sampling distribution.