Solve the Problem $\mathrm { t }$ $$v = \cos \frac { \pi } { 2 } t , s ( 0 ) = 1$$

question 158

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

• A) \(s = \sin t + 1\)
• B) \(s = \frac { 2 } { \pi } \sin \frac { \pi } { 2 } t + \pi\)
• C) \(s = \frac { 2 } { \pi } \sin \frac { \pi } { 2 } t + 1\)
• D) \(s = 2 \pi \sin \frac { \pi } { 2 } t\) time

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Definitions:

Independent Variable

Variable that is controlled by an experimenter in order to explore its relationship to a dependent variable.

Experimental Error

The variation in measurements that is attributed to the limitations in the experimental design and execution, often leading to deviations from true values.

DDT

Dichlorodiphenyltrichloroethane, a synthetic pesticide once widely used but now banned in many countries due to its environmental persistence and toxicity.

Weight Differences

Variation in weight among individuals or objects, attributable to differences in mass, density, or volume.