The goal of the bulb is to produce light. what is the efficiency of this bulb as it works to put out light?

We can't tell from the information you gave us, because you decided to hide the REST of it ... like the numbers that would tell us how much electrical energy goes into the bulb and how much light energy comes out of it.

The efficiency of this bulb is

(the electrical power it uses) / (the light power it radiates forth) .

need to see circuit to get time constant

  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.