This calculus video tutorial contains an example problem on vertical motion. It discusses how to determine the position and velocity functions. It also explains how to calculate the instantaneous velocity and the average velocity on an interval as well as the time it takes for the rock to hit the ground. It also explains how to calculate the speed and velocity of the object before impact in addition to the height of the object at some time t.
Position, Velocity, Acceleration - Calculus:
https://www.youtube.com/watch?v=4zJ6fl1Xakg
Free Fall Physics Problems:
https://www.youtube.com/watch?v=BVgemK1Y2wA
Motion Time Graphs:
https://www.youtube.com/watch?v=nUb7xfkc0Ac
Projectile Motion:
https://www.youtube.com/watch?v=tfItlGfPHyo&t=1s
