Final answer:
The equation x = xo + vot + 1/2at² represents the relationship between distance, time, and acceleration. To find out how many feet the person will travel in 10 seconds, rearrange the equation and solve for x.
Step-by-step explanation:
To represent the relationship between distance, time, and acceleration, we can use the equation x = xo + vot + 1/2at², where x is the distance traveled, xo is the initial position, vo is the initial velocity, t is the time, and a is the acceleration. In this case, the person travels 60 feet in 20 seconds, so we can substitute these values into the equation: 60 = xo + 0 + 1/2at². To find out how many feet the person will travel in 10 seconds, we can rearrange the equation and solve for x:
60 = xo + 0 + (1/2)a(10)²
60 = xo + 50a
xo + 50a = 60
so the person will travel 60 - 50a feet in 10 seconds.