A force acting on a particle moving in the xy plane is given by F - (2y + x), where F is in newtons and x and y are in meters. The particle moves from the origin to a final position having coordinates x = 6.00 m and y = 6.00 m, as shown in the figure below.
y (m)
И
* (m)
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(a) Calculate the work done by F on the particle as it moves along the purple path (OMC).
(b) Calculate the work done by F on the particle as it moves along the red path (oC).
(c) Calculate the work done by F on the particle as it moves along the blue path (oC).
(d) Is F conservative or nonconservative?

Iknow the first part it is the average star i am not 100% sure

Answertraveling around a circular trackexplanation"traveling around a circular track" is the best answer as you could be traveling around a circular track at a constant speed. your velocity would therefore have the same magnitude but will always be constantly direction. since acceleration is the rate of change of velocity, the rate of change will only involve the direction of velocity and not the magnitude.wrong choices: "an object at rest" does not accelerate at all"increasing speed while traveling around a curve" means that the acceleration will not be constant due to only change in direction; it will be constant due to both magnitude and direction"an object in free fall" does not necessarily change direction 

It is increased due to the doppler effect. (apex)