The correct option is: A.
<u><em>Explanation</em></u>
The equation describing the graph of the position of the first object with respect to time is:
If we compare the above equation with the standard slope-intercept form, then the <u>slope of the above equation</u> will be 2.5
As the <u>slopes of the parallel lines are equal to each other</u>, so the slope of the parallel line will be also 2.5
So, the equation of the parallel line will be: , where is the y-intercept.
The parallel line is passing through (t = 0, d = 1). So, <u>plugging these values into the above equation</u>, we will get.....
So, the equation of the second graph will be: