1. Tippecanoe HS AP PHYSICS
Ch 2
Kinetics (1D Motion)

2. Variables needed to keep track of motion (kinetics)…
Distance: How far travelled?
Displacement: How far from start to finish?
Time Interval: How much time? (s)
Speed: How fast? (m)
Velocity

3. Displacement vs Distance
Distance (dotted line) covered is exactly how far the object travelled.
Displacement (solid line) is the change in position (straight line distance) of an object from it starting location to the ending location.

4. Displacement Continued

5. Speed Speed is how far you have traveled over a period of time.
Rate of distance covered.
See board

6. Velocity Velocity is the rate of displacement Definition of Velocity
Average Velocity (totals)
Instantaneous Velocity

7. Average Velocity (non constant)
The motion is non-constant velocity
Green line is initial speed (tangent).
The average velocity is the slope of the blue line joining two points

8. Acceleration Is the rate of change of velocity.
It is expressed in meters per second per second or m/s2.
Definition Equation

9. Graphing motion Displacement (position) vs Time Velocity vs Time
Acceleration vs Time

10. Acceleration on a Displacement vs Time Graph

11. Both Uniform & Non-Uniform Acc.
Non-Uniform Acceleration
Uniform Acceleration

12. Uniform Acceleration (Equation 1)
Restatement of the definition of acceleration.

13. Uniform Acceleration (Equation 1) (cont)
What is the acceleration?
Describe the motion.

14. Integral of Velocity vs Time
The integral (area under curve) of a velocity vs time graph is the displacement of the object.

15. Integral of Velocity vs Time (cont)

16. Integral of Velocity vs Time

17. Integral of Velocity vs Time

18. Integral of Velocity vs Time

20. Uniform Acceleration & Ave Vel

21. Uniform Acceleration & Ave Vel

22. Uniform Acceleration (Equation 2)
We can now solve for displacement.

23. Uniform Acceleration (Equation 2) (cont)

24. Uniform Acceleration (Equation 3)
This equation is derived by substituting equation 1 (solved for time) into equation 2.
This allows us to solve all of the variables if we do not know time.

25. Possible Accelerations on an Inclined Plane
What is the acceleration if flat (horizontal)?
What is the acceleration if straight up (vertical)?

26. Galileo Galilei
Galileo formulated the laws that govern the motion of objects in free fall
Also looked at:
Inclined planes
Relative motion
Thermometers
Pendulum

27. Free Fall All objects will accelerate toward the center of the earth.
The acceleration due to gravity at the surface of the earth is g.
The value of this acceleration is 9.81 m/s2 (in the absence of air).

28. Disp. vs Time for Free Fall

29. Velocity vs Time for Free Fall

30. Acceleration vs Time for Free Fall

31. Non-symmetrical Free Fall
Need to divide the motion into segments
Possibilities include
Upward and downward portions
The symmetrical portion back to the release point and then the non-symmetrical portion

32. Combination Motions