1. A Review of Kinematics SPH4U

2. Distance and Displacement
For an object in motion, the distance travelled is the length of the path; the displacement is change in position.

3. Distance and Displacement
For an object in motion, the distance travelled is the length of the path; the displacement is change in position.
Displacement is a vector quantity: direction matters!
Ex.

4. Vectors in Equations
When substituting vector quantities into equations, direction is often indicated by a sign:

5. Vectors in Equations
When substituting vector quantities into equations, direction is often indicated by a sign: If a question also contains [up] and [down], horizontal and vertical components are considered separately.

6. Speed and Velocity
The rate at which an object is changing position is its velocity (also a vector quantity).
Displacement
Time interval
Average velocity

7. Speed and Velocity
The rate at which an object is changing position is its velocity (also a vector quantity).
Initial velocity
Final velocity

8. Speed and Velocity
The rate at which an object is changing position is its velocity (also a vector quantity).
(The units of velocity are m/s.)

9. Speed and Velocity
The rate at which an object is changing position is its velocity (also a vector quantity). The magnitude of the instantaneous velocity is the object’s speed.

10. Acceleration
The rate at which an object is changing velocity is the acceleration (also a vector quantity).

11. Acceleration
The rate at which an object’s velocity is changing is the acceleration (also a vector quantity).
(The units of acceleration of m/s/s or m/s2.)

12. Kinematics Equations
These equations may be rearranged: Ex.

13. Kinematics Equations
And they may be combined to derive other equations with different combinations of variables:

14. GUSS
When problem solving, select the kinematics equation that contains your Givens and Unknown (and only these variables).

15. GUSS Example 1
How long does it take Usain Bolt to run 10.0 m, assuming he is starting from rest and is accelerating at 6.6 m/s2 [fwd]?

16. GUSS Example 1
How long does it take Usain Bolt to run 10.0 m, assuming he is starting from rest and is accelerating at 6.6 m/s2 [fwd]?

17. GUSS Example 1
How long does it take Usain Bolt to run 10.0 m, assuming he is starting from rest and is accelerating at 6.6 m/s2 [fwd]?

18. GUSS Example 2
For an object in free fall, How long will it take an Olympic diver with an initial velocity of 3.1 m/s [up] to hit the water 10.0 m below?

19. GUSS Example 2

20. GUSS Example 2

21. GUSS Example 2 Given: Using the quadratic formula:
Or 1.8 s to 2 sig digs.
Note that you want only the positive solution.

22. More Practice Textbook Questions: p. 10 #10, 12 p. 20 #5, 7