2. position time

3. position time tangent!

4.  Derivatives are the slope of a function at a point  Slope of x vs. t  velocity - describes how position changes over time  Slope of v vs. t  acceleration - describes how velocity changes over time  Slope of a vs. t  jerk - describes how acceleration changes over time

7. If the position of an object is described by the function What are the velocity and acceleration functions?

8. velocity time Easy!

9. velocity time Harder!!!

10.  Integrals are anti-derivatives  Graphically, integrals are the area under a curve  Area under a v vs. t graph = Displacement

13. An object’s acceleration is described by a(t) = 2t. Find the velocity and position functions.

14. If x = 5 when t = 0, what is the displacement function for this velocity function? -so-

15.  Taking the integral from one point to another.  Same rules apply, but don’t have to do “+C”

16. Find the displacement from t = 2 seconds to t = 4 seconds for the velocity function