443 Words2 Pages

GBT1 Task 1
Western Governors University
The record for the fastest mile has decreased overtime, the earliest documentation dates back to 1850 and was ran in five minutes. The equation
R = 5 - .01t can be used to predict what the fastest mile would be in a given year or what year would have a given time.
This is how I found the yearly change for the fastest mile in order to create an equation to predict what and when the fastest miles will be. Take the original time from the time of 4 minutes and divide by the difference in years. Take the answer from the problem and create an equation. R represents the time of the mile and t is for the change in years since the first recorded mile. Start with the time of the first mile and take away the yearly change multiplied by the number of year since the first mile to get the given time.
In the year 2000 the time for the fastest mile would be 3.5 minutes.
The fastest mile run in 3 minutes would be in 2050.
The fastest mile run in 2 minutes will take place in 2150.
A 1-minute mile would be run in the year 2250.
A mile ran in 0 minutes would take place in the year 2350.
The limitations of this model is that after 499 years from 1850 the time of the fastest mile becomes 0 minutes, which is impossible. After 500 years the fastest mile would be in the negative minutes, which is defiantly impossible unless the invention of rewinding time occurs when running.
The equation for an object launched straight in the air is h = -16t2 + 48t + 10.
It would take the object 3.20 seconds from launch to hit the ground. This equation when solved has two answers, but a negative answer will not work for the amount of time that has passed, so the positive answer is correct.
When the object is 30 feet above the ground the time from launch would be .50 seconds. This equation once again will provide

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