Consider a car driving down a long, straight road. Suppose that after '6 hours on the road, the car's distance from home {measured in miles} is given by 3(t) = it. That is, after 2 hours, the car is 22 = 4 miles from home; after 3 hours. the car is 33 = 27 miles from home: and so forth. 1. Calculate the average velocity of the car during its second hour of travel (i.e., from if = lto if = 2}. Include units. 2. Calculate the average velocity of the car during the interval [1, 4] Include units. 3. Calculate the average velocity of the car during the interval [2, 4]. Include units. 4. During which hour-long interval is the car moving faster: [2, 3] or [3, 4]? 5. Calculate the average velocity of the car during the 12-minute long interval that begins at t = 3. 5and ends at t = 3. 7. Include units. 6. Calculate the average velocity of the car during the 3-minute long interval that begins at t = 3. 5. Include units. 7. Calculate the average velocity of the car during the 90-second long interval that begins at t = 3. 5. Include units. 8. Calculate the average velocity of the car during the 9-second long interval that begins at t = 3. 5. Include units. 9. Using your calculations above, estimate the instantaneous velocity of the car at exactly t = 3. 5. Include units.| 10. Using your result from the previous problem, find the equation of the tangent line to the function i = 3. 5at the point (3. 5, 80. 212)