Approx Func by Quad Polys

Predicting position from incomplete data Imagine the following three scenarios. 1. Pat is looking for Mike. Sean tells Pat that three minutes ago he saw Mike at the corner of First and Main (open blue point on map, below). Where should Pat go to find Mike? 2. Pat is looking for Mike. Sean tells Pat that three minutes ago he saw Mike at the corner of First and Main and he was jogging north on Main at the rate of 2 blocks per minute. Where should Pat go to find Mike? 3. Pat is looking for Mike. Sean tells Pat that three minutes ago he saw Mike at the corner of First and Main and he was jogging north on Main at the rate of 2 blocks per minute, but Mike looked like he was getting tired. It seemed he was slowing his jogging rate down by a half block per minute each minute. Where should Pat go to find Mike?