Consider a mass m moving in a frictionless plane that slopes at an angle α with the horizontal. write down the lagrangian in terms of coordinates x, measured horizontally across the slope, and y, measured down the slope. (treat the system as two-dimensional, but include the gravitational potential energy.) find the two lagrange equations and show that they are what you should have expected.

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.

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