A car is waiting at a traffic signal and when it turns green the car starts ahead with a constant acceleration of 2m/s². At the same time a bus travelling with a constant speed of 10 m/s overtakes and passes the cara)how far beyond the starting point will the car overtake the bus?

Consider a double atwood machine constructed as follows: a mass 4m is suspended from a string that passes over a massless pulley on frictionless bearings. the other end of this string supports a second similar pulley, over which passes a second string supporting a mass of 3m at one end and m at the other. using two suitable generalized coordinates, set up the lagrangian and use the lagrange equations to find the acceleration of the mass 4m when the system is released. explain why the top pulley rotates even though it carries equal weights on each side.