Final answer:
The change in g(t) from t=5 to t=7 cannot be determined with certainty without additional context or a specific functional form for g(t). If g(t) represents velocity and is constant as suggested by the velocity vs. time graph, then g(t) does not change over this interval. If g(t) represents acceleration, and considering the given information, acceleration becomes more negative between t=5 and t=7.
Step-by-step explanation:
To understand how g(t) changes over the interval from t=5 to t=7, we need to analyze the provided information and determine the nature of change in that specific interval. Based on the explanation that velocity vs. time graph is a horizontal line for a stationary object, we can infer that if g(t) represents the velocity, it would remain constant during this period, indicating uniform motion.
If g(t) represents any other quantity, such as acceleration or position, the information provided is not sufficient to determine the change over the interval without additional context or a specific functional form for g(t).
Without the graph or explicit formula for g(t), we can only assume that since a constant velocity represents no change in speed, if g(t) is indeed the velocity function, there would be no change in g(t) over the time interval from t=5 to t=7. However, other interpretations of g(t) require additional data.
As the information points out that acceleration is increasingly negative after t=5 seconds, if g(t) represents acceleration, it would mean acceleration is becoming more negative between t=5 and t=7.
your complete question is: How does g(t)=9t change over the interval from t=5 to t=7?