1. 4/21/2017 1:48 AM
Acceleration
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2. Vector Diagrams Continued…
The magnitude (speed)of a vector quantity is represented by the size of the vector arrow.
If the size of the arrow in each vector diagram is the same, then the speed is constant.
If the size of the velocity vector is increasing, then the object is accelerating. 

3. Check Your Understanding
Object is slowing down
Object is Speeding up

4. Acceleration
Acceleration- the rate at which velocity changes over time.
An object accelerates if it changes speed or direction.

5. The position vs. time graphs for the two types of motion - constant velocity and changing velocity acceleration- are depicted as follows.

6. Acceleration: Position Time Graph
Note that a motion described as a changing, positive velocity results in a line that curves and positive slope when plotted as a position-time graph.
The mathematical equation to calculate the acceleration is quadratic ax+bx+c 2

7. Acceleration: Velocity Time Graph
The car moving with a changing velocity- that is, a car that is moving rightward but speeding up or accelerating.
Since the car is moving in the positive direction and speeding up, the car is said to have a positive acceleration.

8. Acceleration Formula Vf - Vi A = T
Acceleration = Final Velocity- Initial Velocity
Time it takes to change speed Vf - Vi A = T

9. Calculate it #1 Vi Vf T A Vf- Vi A = 220 km/hr- 0 km/hr T A = 22s
Given
Work
Answer
Vf- Vi T
T =
22 s
A =
220 km/hr- 0 km/hr
22s
A =
Vf=
0 km/ hr
Vi=
220km/hr A= ?
10 km/hr

10. Calculate It #2
Lillian has had enough of Tiffany’s antics and high jinks and walks over to Tiffany’s table. With an initial speed of 2 m/s, Lillian accelerates at a rate of 18 m/s/s for 1.5 seconds, what is her final speed? Vi A T Vf
Given
Work
Answers
Vf- Vi T
Vi=
2 m/s
? - 2 m/s
1.5 s
(1.5)
A =
(1.5)
18 m/s/s =
Vf= ?
1.5 s T= 27 =
?-2 m/s A=
18 m/s/s
29 m/s

11. Calculate It #3
Connor dribbles the ball from one end of the court to the other. With an initial speed of 0 m/s and final speed of 14 m/s, he accelerates at a rate of 2 m/s/s. How long does it take Connor to get from one end of the court to the other? Vi Vf T A
Given
Work
Answers
14m/s -
0 m/s
Vf=
0 m/s ? ?
2 m/s/s =
Vi=
14 m/s
2 m/s/s = A= ?
2 m/s/s T= ?
2 m/s/s =
7 seconds