Final answer:
To estimate the average velocity of the car during the first 12 seconds using the Midpoint Rule, divide the time interval into equal subintervals and calculate the average velocity at the midpoint of each subinterval. Finally, take the average of these velocities to find the average velocity of the car over the first 12 seconds.
Step-by-step explanation:
To estimate the average velocity of the car during the first 12 seconds using the Midpoint Rule, we will divide the time interval into equal subintervals.
In this case, n = 3, so we will have three subintervals of 4 seconds each. We will find the midpoint of each subinterval and calculate the average velocity of the car at that point.
Finally, we will take the average of these velocities to find the average velocity of the car over the first 12 seconds.
Let's say the velocity of the car at the midpoint of the first subinterval is v1, at the midpoint of the second subinterval is v2, and at the midpoint of the third subinterval is v3. Then, the average velocity vave is given by:
vave = (v1 + v2 + v3) / 3
For example, if v1 = 60 km/h, v2 = 65 km/h, and v3 = 55 km/h, then:
vave = (60 + 65 + 55) / 3 = 60 km/h