the time of closest approach is computed for the entire pdf of the two objects for the covariances of the objects for the means of the objects
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- Hello, could I get some help with a Differential Equations problem that involves Eigenvalues and Eigenvectors? The set up is: There are two toy rail cars, Car 1, and Car 2. Car 1 has a mass of 2 kg, and is traveling 3 m/s towards Car 2, which has a mass of 1 kg, and is traveling towards Car 1 at 2 m/s. There is a bumper on the second rail car that engages at the moment the cars hit (connecting Car 1 and Car 2), and does not let go. The bumper acts like a spring with spring constant K = 2 N/m. Car 2 is 7 m from the wall at the time of collision (Car 2 is between Car 1 and the wall). I have attached the work I have done so far, but I'm not understanding how to find x1(t) and x2(t), how we know Car 2 hits the wall (or moves away from it), and at what speed Car 1 travels to stay in place after link-up (given: 1 m/s, but not sure why that is). Thank you in advance.The attached image is of the Runge-Kutta method. I want to know if there are any errors with the equations. I think I saw an error on k2 equation. It should be k2 = ax0 + h_step/2 * k1, right? Please let me know if there is anything else wrong with ithey can i get help with these two questions please. thank you.
- Use the graphical method to show that the following model has no feasible solutions.Please help and explain process to solveThe Gilles & Retzbach model of a distillation column, the system model includes the dynamics of a boiler, is driven by the inputs of steam flow and the flow rate of the vapour side stream, and the measurements are the temperature changes at two different locations along the column. The state space model is given by: x = 0 00 -30.3 0.00012 -6.02 0 0 0 -3.77 00 0 -2.80 0 0 Is the system?: a. unstable b. C. not unstable x+ 6.15 0 0 0 0 3.04 0 0.052 not asymptotically stable d. asymptotically stable -1 u y = 0 0 0 0 -7.3 0 0 -25.0 X
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