Answer:
The position of the train at the time 4.9 seconds is 99.563 meters
Explanation:
* Lets explain how to solve the problem
The position-time equation for a certain train is:
f(x) = 2.2 + 8.6 t + 2.3 t², where f(x) is the position of the train in
meters at a certain time t in second.
We need to find the position of the train at the time 9.4 seconds.
So lets substitute the value of t in the position-time equation.
The position-time equation f(x) = 2.2 + 8.6 t + 2.3 t²
The time = 4.9 seconds
f(x) = 2.2 + 8.6(4.9) + 2.3(4.9)²
f(x) = 2.2 + 42.14 + 55.223
f(x) = 99.563
The position of the train at the time 4.9 seconds is 99.563 meters