1. Do Now In your notebook: Imagine a car that is moving at a constant speed of 4 m/s. Unfortunately, the car is leaking oil. One drop of oil falls onto the road every 1 second. Draw a picture of what the pattern of drops will look like on the road after 5 seconds pass.

2. Enduring Understanding: A small number of known values and a basic understanding of the patterns involved in motion may reveal a wide variety of kinematic information. Enduring Understanding: The study and application of kinematic information has affected society.

3. Essential Question: How may we symbolically represent kinematic information? What may be gained by doing this? Essential Question: How do units of measurement affect kinematic understanding?

4. Essential Question: How has the study of kinematic information affected society? Essential Question: Why didn’t people regularly study and use kinematic information prior to the 17 th century?

5. Acceleration In your own words, what is acceleration? Acceleration: The rate of change for speed or velocity. Symbolically; a = Δv t

7. Visualizing Acceleration A car is accelerating at a rate of 3m/s 2. 0 s 1 s2 s3 s4 s 0 m/s m/s

8. An object starts at rest. After 10 s, it has a speed of 50 m/s. What was its acceleration? V i = 0 m/s V i is the initial speed V f = 50 m/s V f is the final speed t = 10 s a = (v f - v i )/t _______________________________ (50 m/s – 0 m/s) a = ------------------------ = 5 10s What is the unit? m/s 2

9. a = (v f – v i ) t Rearrange this formula to solve for v f v f = v i + at This is the symbolic representation of our second kinematic equation.

10. An object has an acceleration of 12 m/s 2. If the object starts at rest, what is its speed after 5 s? a = 12 m/s 2 t = 5 s v i = 0 m/s v f = ? v f = v i + at 0 m 12 m 5 s v f = ----- + ------- x s s 2 v f = 60 m/s

11. How far did the object travel during that time period? Average speed = (v i + v f ) 2 d = vt Average speed = (0 m/s + 60 m/s) / 2 Average speed = 30 m/s d = (30 m/s)(5 s) = 150 m Note:this only works for a constant acceleration