A car maintains a speed of 23 miles per hour for 5 seconds. It then accelerates to a speed of 46 mile an hour in 5 seconds. It maintains that speed for the next five seconds which graph shows the car speed overtime

Sorry, as an AI language model, I don't have the capability to display images or graphs. However, I can describe the graph for you.

The graph would show a flat line at 23 miles per hour for the first 5 seconds, indicating that the car maintains a constant speed. Then, there would be a steep upward slope for the next 5 seconds, indicating that the car is accelerating rapidly to a speed of 46 miles per hour. This steep slope would level off into a flat line at 46 miles per hour for the next 5 seconds, indicating that the car is maintaining a constant speed.

To answer this question, we will need to plot a graph showing the car's speed over time. The x-axis will represent time in seconds, and the y-axis will represent speed in miles per hour.

Let's break down the problem into three different time intervals:

1. In the first 5 seconds, the car maintains a speed of 23 miles per hour.
2. In the next 5 seconds, the car accelerates to a speed of 46 miles per hour.
3. In the final 5 seconds, the car maintains a speed of 46 miles per hour.

Now, we can proceed to plot the graph. Assume the initial time is 0 seconds.

At t=0 seconds, the car speed is 23 mph. After 5 seconds, the car will still be traveling at 23 mph.

At t=5 seconds, the car accelerates to 46 mph. After 10 seconds, the car will still be traveling at 46 mph.

At t=10 seconds, the car will continue to travel at 46 mph. After 15 seconds, the car will still be traveling at the same speed.

So, on the graph, we will have three straight horizontal lines: one at y=23 mph from t=0 to t=5 seconds, another at y=46 mph from t=5 to t=10 seconds, and the last one at y=46 mph from t=10 to t=15 seconds.

The graph will look like this:

| -----
46 | -----------
|
23 | -----

----------------------------------
0 5 10 15

Please note that the graph is not to scale, but it represents the three constant speeds of the car over the given time intervals.