A graphing calculator may NOT be used for the following problem. llllllnnn vit) o 110 1 o 220 175 (meters per minute) 1 0 5 John is riding a bike ride along a straight path. For 0 5 ts 20, John's velocity is given by a differentiable function, v. Selected values of v(t), where t is measured in minutes and uh) is measured in meters per minute, are given in the table above. a) Using correct units, estimate John's average acceleration at t = 8 minutes. b) Sam is jogging along the same path. For 0 s t 5 5, Sam's velocity is modeled by 170:) = 0.5t3 W + 100' Find her acceleration at time t = 3. c) At time t = 3. John is at a position x, = 200 meters and Sam is at a position x3: 300 meters, as measured from Sam's starting point. Find the rate, in meters per minute, at which the distance between John and Sam is changing at time t: 3. d) At time t= 2, is Sam speeding up or slowing down