- Find the acceleration function
**a(t)**as an explicit function of time**t**, still in terms of the parameters**A**and**b**. - Find the distance function
**s(t)**as an explicit function of time**t**, still in terms of the parameters**A**and**b**. - Plot the acceleration, velocity, and distance functions, using the 1973 values of the parameters
**A**and**b**. - When does the
*maximum acceleration*occur, and what is it? How long does it take for the acceleration to drop to 10% of its maximum value? - What is the runner's
*maximum speed*? How long does it take for the runner to reach 90% of this maximum? In races of 100 and 200 meters, is the*final speed*the same? Explain.

Journal of Online Mathematics and its Applications