
(a) Find the average acceleration of train A over the interval 2 ≤ t ≤ 8. Selected values for V A(t) are given in the table above. Train A’s velocity, measured in meters per minute, is given by a differentiable function V A(t), where time t is measured in minutes.
Train A runs back and forth on an east-west section of railroad track. Show the work that leads to your answer.ĪP Calculus AB 2014 Free Response Question 4 Use L(t) to predict the time at which there will be 0.5 pound of grass clippings remaining in the bin. (d) For t > 30, L(t), the linear approximation to A at t = 30, is a better model for the amount of grass clippings remaining in the bin. (c) Find the time t for which the amount of grass clipping in the bin is equal to the average amount of grass clipping in the bin over the interval 0 ≤ t ≤ 30. Using correct units, interpret the meaning of the value in the context of the problem. (a) Find the average rate of change A(t) over the interval 0 ≤ t ≤ 30. For 0 ≤ t ≤ 30, the amount of glass clippings remaining in the bin is modeled by A(t) = 6.687(0.931) t, where A(t) is measured on pounds and t is measured in days.
Grass clippings are placed in a bin, where they decompose.Questions and Worked Solutions for AP Calculus AB 2014ĪP Calculus AB 2014 Free Response Questions - Complete Paper (pdf)ĪP Calculus AB 2014 Free Response Question 1Ī graphing calculator is required for these problems.