In: Math
The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given in the table. Find lower and upper estimates for the distance that she traveled during these three seconds.
| ft (smaller value) | 
| ft (larger value) | 
| t (s) | 0 | 0.5 | 1.0 | 1.5 | 2.0 | 2.5 | 3.0 | 
| v (ft/s) | 0 | 6.7 | 11.2 | 14.1 | 17.5 | 19.8 | 20 |