1. My, how you have changed!
Acceleration 1

2. Opening questions
Was the motion of your MPV constant throughout its run?
Suppose you walked at 3 miles/hour around a circular path at school. Is your rate of motion changing? Explain your response

3. What do the main subjects in the following pictures have in common about their motion?3

4. They are accelerating 4

5. Acceleration’s
DEFINITION AND UNITS

6. Acceleration
Anytime the velocity of an object changes, the object accelerates
Get Faster
Get Slower
If the motion of object changes direction, but stays at a constant rate 6

7. Velocity changes if…
Speeding up
Slowing down 7

8. Velocity changes if…
The direction of the motion changes, but the speed does not
This type of acceleration is call centripetal acceleration 8

9. Units for acceleration
m/s2
(m/s) / s because the velocity (m/s) changes over time (s)

10. The proof of why it is like it is
Derivation of units
The proof of why it is like it is

11. How we get m/s2 for units of acceleration11

12. Units
How do you simplify
(¾) / 9 12

13. answer 13

14. TYPES OF ACCELERATION

15. Average or overall Acceleration

16. Average or overall acceleration
Acceleration of an object determined over a certain time period

17. Calculating average/overall acceleration
Acceleration = change in velocity / time
a = ∆v / t 17

18. ∆v ∆v = vf - vi The ∆ means the change in…
So ∆v means change in velocity
You find the change in a value by subtracting it initial value from its final value
∆v = final velocity – initial velocity
∆v = vf vi 18

19. Final Equation for average/overall acceleration
a = (vf - vi) / t
vf = final velocity
vi = initial velocity
t = elapsed time
a = acceleration 19

20. Ex #1
A flowerpot falls off a second story windowsill. The flowerpot start from rest and hits the sidewalk 1.5 s later with a velocity of 14.7m/s. Find the average acceleration. 20

21. What information is given? Identify the information.
Is the time
14.7 m/s
is the final velocity
Starts from rest
Means that the initial velocity is zero (0)
“at rest” always means that vi = o 21

22. Answer #1 a = (14.7 – 0) / 1.5 = 9.8 What are the units?
(14.7 m/s – 0 m/s) 1.5 s = (m/s) / s
m / s2 22

23. UNIFORM OR CONSTANT ACCELERATION

24. Constant acceleration
Occurs when rate of change in the velocity of an object is constant.
This means the velocity values change at the same rate each second
An object that accelerates at 3 m/s2, goes from rest (0 m/s) to:
3 m/s after 1 second, 6 m/s after 2 sec,
9 m/s after 3 sec… 24

25. Constant acceleration and the graphs
Constant acceleration is indicated by a smooth curve on a P-t graph, and a straight line on a V-t graph.
Slope of the line on a V-t graph = value of constant acceleration

26. Ex What is the acceleration of the object at 5 min?
What is the acceleration of the object at any time between 15 min and 40 min?

27. Constant Acceleration
An object moving at a constant velocity has a constant acceleration of zero
As evidenced in a graph by a straight horizontal line 27

28. Positive acceleration
Positive slope of V-t graph, graph gets higher moving left to right
Getting faster in the positive direction
Getting slower in the negative direction 28

29. Negative acceleration
Graph gets lower moving left to right
Slowing down in the positive direction
Speeding up in the negative direction 29

30. Question
What is the difference between constant velocity and constant acceleration? 30

31. Answer
Constant velocity means the object does not change its velocity over time
Constant acceleration means that the object does not change its acceleration over time

32. REAL LIFE EXAMPLES OF CON A

33. Almost all movement in life can be divided up into segments with constant acceleration

34. Instantaneous acceleration
Acceleration at a certain moment in time