Consider a system of two toy rail cars (i.e., frictionless masses). Suppose that car 1 has mass 2 kg and is traveling at 3 m/s toward the other car. Suppose car 2 has mass 1kg and is moving toward the other car at 9 mfg. There is a bumper on the second rail car that engages at the moment the cars hit and does not let go (it connects the two cars). The bumper acts as a spring with spring constant 2 N/m. The second car is 10 m from a wail. Let t = 0 be the time that the cars link up. Let 3:1 be the displacement of the first car from its position att = t}, and let $2 be the displacement of the second car from its original position. :- k m. \"I2 _ _ *H' The crash of two ra11 cars. 10 meters Set up a system of secondorder differential equations that models this situation. Z |;l l;| a help (manic; 3:1(0) = |:| meters help (numbers) 3:2(0) = |:| meters help (numbers) ${(0] = |:| meters/second help (numbers) 935(0) : |:| meters/second help (numbers) Find the solution to this system of differential equations. w1(t)=| |meters he|p(formulas} :1:2(i)=| |meters he|p(formulas}