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Acceleration

Acceleration. March 2, 2010. Objectives. Define acceleration and deceleration Describe the relationship between velocity and acceleration Calculate acceleration. Speed vs Velocity?. Speed – how fast an object is changing its position Velocity – an object’s speed and direction.

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Acceleration

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  1. Acceleration March 2, 2010

  2. Objectives • Define acceleration and deceleration • Describe the relationship between velocity and acceleration • Calculate acceleration

  3. Speed vs Velocity? • Speed – how fast an object is changing its position • Velocity – an object’s speed and direction

  4. Velocities can be combined. Rowing downstream at 16 km/h southeast on a river which is moving 10 km/h southeast results in a total velocity of 26 km/h southeast.

  5. Rockets are launched in the same direction as the earth rotates. Added boost of 1800 km/h!

  6. Acceleration the rate of change in velocity

  7. final velocity – initial velocity time Acceleration

  8. A = Vf – Vi T Acceleration equation

  9. A =  V T  is pronounced delta

  10. km / h /h or km / h2 m/s/s m / s2 km / h /s kilometers per hour per hour meters per second per second kilometers per hour per second Acceleration units

  11. Vi t Vf Example problem 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?

  12. A =  V T Acceleration equation

  13. A =  V T • Final velocity = 26 m/s • Initial velocity = 10 m/s • Time = 2 s A = 26 m/s – 10 m/s = 16 m/s = 8 m/s/s 2s 2s

  14. Deceleration Negative acceleration

  15. Vi Vf t Example Problem 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?

  16. Final velocity = 0 m/s Initial velocity = 12 m/s Time = 30 s

  17. A =  V T Acceleration equation

  18. A =  V T • Final velocity = 0 m/s • Initial velocity = 12 m/s • Time = 30 s A = 0 m/s – 12 m/s = -12 m/s = -0.4 m/s/s 30s 30s

  19. 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? A = Vf – Vi t

  20. 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? A = Vf – 9.8 m/s t

  21. 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? A = 12.0 m/s – 9.8 m/s t

  22. 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? A = 12.0 m/s – 9.8 m/s 3 min A = 0.73 m/s/min

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