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Do Now ,[object Object]
Speed, Velocity, and Acceleration
Goals: ,[object Object],[object Object],[object Object]
To describe motion accurately and completely, a frame of reference is needed.
An object is in  motion  if it changes position relative to a reference point. ,[object Object],The passenger can use a tree as a reference point to decide if the train is moving. A tree makes a good reference point because it is stationary from the passenger’s point of view.
Describing Motion Whether or not an object is in motion depends on the reference point you choose.
Distance ,[object Object],A B
Displacement ,[object Object],A quantity that has  magnitude  and  direction  is called a… VECTOR
Speed ,[object Object],Speed = Distance/time Average speed = Total distance/Total time What is instantaneous speed?
Velocity ,[object Object],As the sailboat’s direction changes, its velocity also changes, even if its speed stays the same.  If the sailboat slows down at the same time that it changes direction, how will its velocity be changed?
Speed v. Velocity ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Graphing Speed D I S T A N C E T I M E Speed increasing Object is stopped Object begins moving at a different speed
The steepness of a line on a graph is called  slope . ,[object Object],[object Object],Using the points shown, the rise is 400 meters and the run is 2 minutes. To find the slope, you divide 400 meters by 2 minutes. The slope is 200 meters per minute.
Do Now: Set up formula triangles to find speed and velocity
Acceleration ,[object Object],[object Object]
[object Object],[object Object]
[object Object],Understanding Acceleration 2.  What happens to the speed of the ball as it rises from the ground back to her hand? 3.  At what point does the ball have zero velocity? 4.  How does the velocity of the ball change when it bounces on the floor?
You can feel acceleration! If you’re moving at 500mph east without turbulence, there is no acceleration. But if the plane hits an air pocket and drops 500 feet in 2 seconds, there is a large change in acceleration and you will feel that!   It does not matter whether you speed up or slow down; it is still considered a change in acceleration.
In science, acceleration refers to increasing speed, decreasing speed, or changing direction. ,[object Object],[object Object],[object Object]
Calculating Acceleration ,[object Object],[object Object],[object Object],[object Object],[object Object],So… Acceleration =  (Final speed – Initial speed) Time
[object Object],Calculating Acceleration What information have you been given? Initial speed =  4 m/s Final Speed =  22 m/s Time =  3 s
Calculating Acceleration What quantity are you trying to calculate? The average acceleration of the roller-coaster car. What formula contains the given quantities and the unknown quantity? Acceleration = ( Final speed  –  Initial speed )/ Time Perform the calculation. Acceleration = ( 22 m/s  –  4 m/s )/ 3 s  = 18 m/s/ 3   s Acceleration = 6 m/s2 The roller-coaster car’s average acceleration is 6 m/s2.
Graphing acceleration S P E E D T i m e Object accele-rates Object moves at constant speed Object decelerates
The slanted, straight line on this speed-versus-time graph tells you that the cyclist is accelerating at a constant rate. The slope of a speed-versus-time graph tells you the object’s acceleration.  Predicting  How would the slope of the graph change if the cyclist were accelerating at a greater rate? At a lesser rate?
Since the slope is increasing, you can conclude that the speed is also increasing. You are accelerating. Distance-Versus-Time Graph  The curved line on this distance-versus-time graph tells you that the cyclist is accelerating.

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Speed,velocity,acceleration

  • 1.
  • 2. Speed, Velocity, and Acceleration
  • 3.
  • 4. To describe motion accurately and completely, a frame of reference is needed.
  • 5.
  • 6. Describing Motion Whether or not an object is in motion depends on the reference point you choose.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12. Graphing Speed D I S T A N C E T I M E Speed increasing Object is stopped Object begins moving at a different speed
  • 13.
  • 14. Do Now: Set up formula triangles to find speed and velocity
  • 15.
  • 16.
  • 17.
  • 18. You can feel acceleration! If you’re moving at 500mph east without turbulence, there is no acceleration. But if the plane hits an air pocket and drops 500 feet in 2 seconds, there is a large change in acceleration and you will feel that! It does not matter whether you speed up or slow down; it is still considered a change in acceleration.
  • 19.
  • 20.
  • 21.
  • 22. Calculating Acceleration What quantity are you trying to calculate? The average acceleration of the roller-coaster car. What formula contains the given quantities and the unknown quantity? Acceleration = ( Final speed – Initial speed )/ Time Perform the calculation. Acceleration = ( 22 m/s – 4 m/s )/ 3 s = 18 m/s/ 3 s Acceleration = 6 m/s2 The roller-coaster car’s average acceleration is 6 m/s2.
  • 23. Graphing acceleration S P E E D T i m e Object accele-rates Object moves at constant speed Object decelerates
  • 24. The slanted, straight line on this speed-versus-time graph tells you that the cyclist is accelerating at a constant rate. The slope of a speed-versus-time graph tells you the object’s acceleration. Predicting How would the slope of the graph change if the cyclist were accelerating at a greater rate? At a lesser rate?
  • 25. Since the slope is increasing, you can conclude that the speed is also increasing. You are accelerating. Distance-Versus-Time Graph The curved line on this distance-versus-time graph tells you that the cyclist is accelerating.