Solve the Problem $t$ Seconds Is $s = 128 t - 16 t ^ { 2 }$

question 171

Multiple Choice

Solve the problem.
-A ball is thrown vertically upward with an initial velocity of 128 feet per second. The distance in feet of the ball from the ground after $t$ seconds is $s = 128 t - 16 t ^ { 2 }$ . For what intervals of time is the ball less than 240 above the ground (after it is tossed until it returns to the ground) ?

• A) between 0 and 3 seconds and between 5 and 8 seconds
• B) between 3 and 5 seconds
• C) between 0 and \(2.5\) seconds and between \(5.5\) and 8 seconds
• D) between 0 and \(3.5\) seconds and between \(4.5\) and 8 seconds

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Definitions:

Y Intercept

The y-intercept is the point where a line or curve intersects the y-axis of a graph.

Y Predictor

A variable used in statistical models to predict another variable, often denoted as the independent variable.

Regression Line

A straight line that best fits the data on a scatterplot, showing the average relationship between the independent and dependent variables.

Slope

The gradient or tilt of a line on a graph, indicating the relationship between two variables.