A car, Tesla Model 3 to be exact, moved along a straight road and its speed continually increased (at least for the first 10 seconds). Speedometer readings were recorded at 2 second intervals and the results are listed in the table below. Time Speed 0 0 2 25.1 4 53.4 6 77.2 8 96.6 10 109.9 The speeds are given in feet per second and the times are given in seconds. 1. Why can't you tell exactly how far the car travelled on each interval. 2. In each two second interval: find the minimum distance that the car could have travelled and then find the maximum distance that the car could have travelled. Explain how you used the information that the car's speed was increasing. 3. During the entire ten second interval, find the minimum distance that the car could have travelled. Then find the maximum distance the car could have travelled. 4. Find the maximum error in guessing the actual distance travelled in each two second time interval and in the ten second time interval. 5. If the speedometer readings were available for each hundredth of a second, by how much would your upper estimate for the entire distance travelled exceed your lower estimate? 6. How can we achieve the desired accuracy in guessing the actual distance travelled?