Solve the Problem $t$ , Find the Body's Position at Time $t$

question 91

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 position at time $t$ .
$$\mathrm { v } = \cos \frac { \pi } { 2 } \mathrm { t } , \mathrm { s } ( 0 ) = 1$$

• A) \(s = \sin t\)
• B) \(s = 2 \pi \sin \frac { \pi } { 2 } t\)
• C) \(s = \frac { 2 } { \pi } \sin \frac { \pi } { 2 } t + \pi\)
• D) \(\mathrm { s } = \frac { 2 } { \pi } \sin \frac { \pi } { 2 } \mathrm { t }\)

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Definitions:

Specific Events

Particular occurrences or happenings that are distinct and identifiable.

Centerline

In statistical quality control, a line on a control chart that represents the average or mean value of the data being monitored.

Control Chart

A tool used in quality control to monitor a process and determine if it is in a state of statistical control by plotting data points over time.

Mean

The sum of a collection of numbers divided by the count of numbers in the collection, also known as the average.