Asearchlight rotates at a rate of 3 revolutions per minute. the beam hits a wall located 15 miles away and produces a dot of light that moves horizontally along the wall. how fast (in miles per hour) is this dot moving when the angle theta between the beam and the line through the searchlight perpendicular to the wall is pi/4? note that dtheta/dt3(2pi)=6pi.

  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.