# World Class Sprints - Acceleration, Velocity, Distance

- 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.