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Acceleration

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Acceleration

1. 1. <ul><li>Notes: Acceleration </li></ul><ul><li>CW: Speed, Velocity and Acceleration </li></ul><ul><li>H: Lesson 17 Acceleration </li></ul>
2. 2. Acceleration February 16, 2009
3. 3. Objectives <ul><li>Define acceleration and deceleration </li></ul><ul><li>Describe the relationship between velocity and acceleration </li></ul><ul><li>Calculate acceleration </li></ul>
4. 4. <ul><li>Speed – </li></ul><ul><li>Velocity - </li></ul>
5. 5. Velocities can be combined. <ul><li>Rowing downstream at 16 km/h southeast on a river which is moving 10 km/h southeast </li></ul>results in a total velocity of 26 km/h southeast.
6. 6. <ul><li>Rockets are launched in the same direction as the earth rotates. </li></ul><ul><li>Added boost of 1800 km/h! </li></ul>
7. 7. Acceleration <ul><li>the rate of change in velocity </li></ul>
8. 8. final velocity – initial velocity time Acceleration
9. 9. A = V f – V i T Acceleration equation
10. 10. A =  V T  is pronounced delta
11. 11. Acceleration units <ul><li>km / h /h or km / h 2 </li></ul><ul><li>m/s/s </li></ul><ul><li>m / s 2 </li></ul><ul><li>km / h /s </li></ul><ul><li>kilometers per hour per hour </li></ul><ul><li>meters per second per second </li></ul><ul><li>kilometers per hour per second </li></ul>
12. 12. Example problem <ul><li>A roller coaster’s speed at the top of a hill is 10 m/s. Two seconds later, it reaches the bottom of the hill with a speed of 26 m/s. What is the acceleration of the roller coaster? </li></ul>V i V f t
13. 13. A =  V T Acceleration equation
14. 14. A =  V T <ul><li>Final velocity = 26 m/s </li></ul><ul><li>Initial velocity = 10 m/s </li></ul><ul><li>Time = 2 s </li></ul><ul><li>A = 26 m/s – 10 m/s = 16 m/s = 8 m/s/s </li></ul><ul><li>2s 2s </li></ul>
15. 15. Deceleration Negative acceleration
16. 16. Example Problem <ul><li>At the end of a race, a bicycle is decelerated from a velocity of 12 m/s to a rest position in 30 seconds. What is the deceleration of this bicycle? </li></ul>V i V f t
17. 17. <ul><li>Final velocity = 0 m/s </li></ul><ul><li>Initial velocity = 12 m/s </li></ul><ul><li>Time = 30 s </li></ul>
18. 18. A =  V T Acceleration equation
19. 19. A =  V T <ul><li>Final velocity = 0 m/s </li></ul><ul><li>Initial velocity = 12 m/s </li></ul><ul><li>Time = 30 s </li></ul><ul><li>A = 0 m/s – 12 m/s = -12 m/s = -0.4 m/s/s </li></ul><ul><li>30s 30s </li></ul>
20. 21. <ul><li>If a rocket in space is moving at a constant velocity of 9.8 m/s and then uses its propulsion system to accelerate to 12.0 m/s during a 3.0 minute burn, what would be the acceleration of the rocket? </li></ul><ul><li>A = V f – V i </li></ul><ul><li>t </li></ul>
21. 22. <ul><li>If a rocket in space is moving at a constant velocity of 9.8 m/s and then uses its propulsion system to accelerate to 12.0 m/s during a 3.0 minute burn, what would be the acceleration of the rocket? </li></ul><ul><li>A = V f – 9.8 m/s </li></ul><ul><li>t </li></ul>
22. 23. <ul><li>If a rocket in space is moving at a constant velocity of 9.8 m/s and then uses its propulsion system to accelerate to 12.0 m/s during a 3.0 minute burn, what would be the acceleration of the rocket? </li></ul><ul><li>A = 12.0 m/s – 9.8 m/s </li></ul><ul><li>t </li></ul>
23. 24. <ul><li>If a rocket in space is moving at a constant velocity of 9.8 m/s and then uses its propulsion system to accelerate to 12.0 m/s during a 3.0 minute burn, what would be the acceleration of the rocket? </li></ul><ul><li>A = 12.0 m/s – 9.8 m/s </li></ul><ul><li>3 min </li></ul>A = 0.73 m/s/min