Suppose you take a road trip from Columbus Ohio to Urbana-Champaign Illinois. Moreover, suppose your position is modeled by (miles West of Columbus) where t is measured in hours and runs from 0 to 5 hours. Problem. 1: What is the average velocity for the entire trip? 1.1: Remember, The average velocity is 8(t)=36t-4.81 miles per hour. change in distance rate change in time. Problem. 2: Use a calculator to estimate the instantaneous velocity at t=2 2.1: Remember, change in distance rate change in time. The instantaneous velocity, (rounded to the nearest tenth) is miles per hour.