Position Velocity and Acceleration example 1

The video tutorial explains a problem involving an Olympic runner's position, velocity, and acceleration during a 100-meter race. The velocity is given as a function of time, and the task is to find the runner's position and acceleration at any time. The tutorial covers differentiating velocity to find acceleration and integrating velocity to find position, using initial conditions to solve for constants. Graphs of position, velocity, and acceleration are analyzed to understand the runner's motion.

Describe the behavior of the runner's position graph over time during the race.

What does the velocity graph indicate about the runner's performance during the race?

Explain how the acceleration of the runner changes throughout the race.