A stuntman drives a car of mass 1125 kg east with a speed of 20 m/s. a. If the car accelerates at a rate of –2 m/s2, how long will it take the car to go 50 m?

b. The stuntman drives the car off an 80 m cliff while going 15 m/s. How long will it take the car to land?

c. How far horizontally from the cliff will the car land?

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.