Please answer the vector questions with explanation

Two tow}:r trains travel in a straight line according to the following parametric equations (where distance is measured in km and time is in hours: Train A: Train B: 8) bl C) dl 8) fl 3) hi x= 3+2t, y=1t x=52t, y: 3+4t Explain which train is travelling the fastest (2 marks) Explain how you can tell that the trains are not travelling parallel to each other (1 mark) Sketch the paths of both trains over the first 5 hours of motion (4 marks) Find an expression D, for the distance between the trains at any point in time (2 marks) Using calculus and part d), determine the shortest distance between the trains (4 marks) A railwavr yard is located at the point R(2,-1). Determine which train passes closest to R (4 marks) Write down the Cartesian equation for each train (2 marks) Determine the point where the equations in part 3) meet (2 marks) Explain whether this suggests that the trains will ever cross paths (2 marks)