Prove the well‐known result that, for a given launch speed v0, the launch angle θ = 45° yields the maximum horizontal range R. Determine the maximum range. (Note that this result does not hold when aerodynamic drag is included in the analysis.)

i will answer your question if you answer mine

  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.

there are no components of a physical goal mentioned on the list of choices that you've provided.

find the sum of the two horizontal vectors and the sum of the two vertical vectors

isoceles right angled triangle