The speed of a passenger train that is traveling at an initial speed of 14 feet per second and continues to accelerate can be modeled by the function: y=14t². A second train that is 1,200 feet ahead of the first train is traveling at a constant speed of 149 feet per second and can be modeled by the function: y=149t+1200. Solve the system of equations. Which solution represents a viable time that the trains are side by side?
- 14 seconds
- 15 seconds
- 16 seconds
- 17 seconds