30) This question gives us a graph and asks us to find the average speed. The average speed is a bit different from the instantaneous speed.
This is our equation for the average velocity. Looking at the graph, we can already tell that the time is 20 seconds, but we need to use the graph to figure out the total distance. Let's take a look at the formula for the distance covered by a constant velocity.
We can see that if we multiply the velocity at each section by the time it maintains that velocity, and then add them up, we can find the total distance. The x and y-axis of the graph happen to be time and velocity. So we can simply take the area between the curve and the x-axis. This is called the integral. Let's take the integral of this function.
Now if we sum the areas up and divide by the time we can find our average velocity.
Answer: A
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