Acar drives around a racetrack for 30 seconds. what do you need to know to
calculate the average speed of the car?

a. the slope of the car's position-time graph

b. the total distance driven on the racetrack

c. the area under the position-time graph

d. the slope of the car's velocity-time graph
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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.