A Ball Is Thrown Straight Down from the Top of a 300-Ft

question 38

Multiple Choice

A ball is thrown straight down from the top of a 300-ft building with an initial velocity of $- 12 \mathrm { ft }$ per second. The position function is $s ( t ) = - 16 t ^ { 2 } + v _ { 0 } t + s _ { 0 }$ . What is the velocity of the ball after 4 seconds?

• A) The velocity after 4 seconds is \(- 76 \mathrm { ft }\) per second.
• B) The velocity after 4 seconds is \(- 116 \mathrm { ft }\) per second.
• C) The velocity after 4 seconds is \(- 140 \mathrm { ft }\) per second.
• D) The velocity after 4 seconds is \(- 52 \mathrm { ft }\) per second.
• E) The velocity after 4 seconds is \(- 280 \mathrm { ft }\) per second.

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Definitions:

Standard Deviation

A measure of the amount of variation or dispersion of a set of values.

Variability

The degree to which observations in a dataset or statistical distribution vary from the mean and among themselves.

Range

The difference between the highest and lowest scores in a data set, reflecting the spread or dispersion of the scores.

Mean Deviation

The average of absolute differences between each value in a set and the mean of the set, indicating the dataset's dispersion.