With curve sketching out of the way, we can look at other ways to apply derivatives. Those of you who have taken physics may recognize many terms from this lesson. Those who do not, here is a summary:
Basic Physic Terminology (cr: Organic Chemistry Tutor)
Now we apply what we have learnt so far in derivatives to determine speed (slowing down +-, or speeding up ++/–), direction and position of particles
Calculus – Position Average Velocity Acceleration – Distance & Displacement – Derivatives & Limits (cr: Organic Chemistry Tutor)
Motion problems: when a particle is speeding up (cr: Khan Academy)