Answer Each Question Appropriately $s$ -Axis Is $\frac { \mathrm { ds } } { \mathrm { dt } } = 9.8 \mathrm { t } - 10$

question 157

Multiple Choice

Answer each question appropriately.
-Suppose the velocity of a body moving along the $s$ -axis is $\frac { \mathrm { ds } } { \mathrm { dt } } = 9.8 \mathrm { t } - 10$ .
Is it necessary to know the initial position of the body to find the body's displacement over some time interval? Justify your answer.

• A) No, the initial position is necessary to find the curve s= f(t) but not necessary to find the displacement. The initial position determines the integration constant. When finding the
• Displacement the integration constant is subtracted out.
• B) No, displacement has nothing to do with the position of the body.
• C) Yes, knowing the initial position is the only way to find the exact positions at the beginning and end of the time interval. Those positions are needed to find the displacement.
• D) Yes, integration is not possible without knowing the initial position.

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Definitions:

Statistically Significant

A measure indicating that the likelihood of an observed effect occurring by chance is very low, thus suggesting a true effect.

Standard Deviations

A measure that quantifies the amount of variation or dispersion of a set of data values from the mean of the data.

Observed Difference

A noticeable variance between two or more groups or conditions in a study or observed phenomena.

Representative Samples

Select groups that closely match the characteristics of a larger population they are intended to represent, used in statistical analysis for research.