Particle Motion (position, speed, and velocity)

Topic:
Calculus
You can use this app to explore the relationship between position, velocity, and acceleration. You can edit the velocity function and see how that changes the position and acceleration function. Then, you can watch an animation of a particle that moves following the velocity that you determine. Enjoy!
When is the function speeding up and slowing down? When is the acceleration positive/negative? When is the particle moving forward/backward?