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Magnitudes Average speeds
10 Snail 2.2x10 6 Walking speed 2.5x10 2 Sprinter 1x10 -3 Typical car speed 3x10 8 Jet airliner 1.5 Earth around the Sun 22 Electron around a nucleus 3x10 4 Light Speed ms -1
1x10 -3 Snail 1.5 Walking speed 10 Sprinter 22 Typical car speed 2.5x10 2 Jet airliner 3x10 4 Earth around the Sun 2.2x10 6 Electron around a nucleus 3x10 8 Light Speed ms -1
Acceleration ,[object Object],[object Object],[object Object],[object Object]
“ change in velocity” ,[object Object],[object Object],[object Object]
For example: ,[object Object],[object Object],[object Object]
[object Object],[object Object]
QUESTION one:  If a car accelerates from 5 m/s to 15 m/s in 2 seconds, what is the car's average acceleration?  QUESTION two:  How long does it take Kitty to accelerate an object from rest to 10 m/s if the acceleration was 2 m/s 2 ?  QUESTION three:  Ella was running at 16m/s on the pavement. She starts to run on the sand and now has a speed of 10m/s. This change in speed took 2 seconds. What is her “acceleration”?   Warm up questions
QUESTION one:  If a car accelerates from 5 m/s to 15 m/s in 2 seconds, what is the car's average acceleration?   ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
How long does it take Kitty to accelerate an object from rest to 10 m/s if the acceleration was 2 m/s 2 ?  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Clio was running at 16m/s on the pavement. She starts to run on the sand and now has a speed of 10m/s. This change in speed took 2 seconds. What is her “acceleration”? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Slightly more complex.. ,[object Object],[object Object],[object Object],[object Object]
Hattie is riding her bike at 4m/s when she decides to go a bit faster. She accelerates at 3m/s/s for 5s. What is her final velocity? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Tizzy is walking home at 2m/s when she sees the burglar coming out of a house, she gives chase and accelerates at a rate of 2ms -2 . If it takes her 4s to accelerate what is her final speed? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The burglar has eaten too many pies and cannot accelerate as fast. He goes from stationary to 1m/s in 3s. What is his acceleration?  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Acceleration due to gravity ,[object Object],[object Object],[object Object],[object Object],[object Object]
Acceleration due to gravity ,[object Object],[object Object],[object Object],[object Object]
Hand in your homework on GATSOs please! ,[object Object],[object Object]
Task ,[object Object],[object Object],[object Object],[object Object]
stopwatch ,[object Object]
Uniformly accelerated motion in a straight line ,[object Object],[object Object],[object Object],[object Object]
Task ,[object Object],[object Object]
Uniformly accelerated motion in a straight line ,[object Object],[object Object]
[object Object],[object Object]
What are the symbols and variables involved? ,[object Object],[object Object],[object Object],[object Object],[object Object]
Deriving the equations (There are 4 of them) ,[object Object],[object Object],[object Object]
Equation TWO:  What is the displacement of this object?  ,[object Object],Time (s) Velocity (ms -1 ) The area below the line of this graph tells you the displacement of the object: Area of triangle:  (v – u) x t  / 2 Area of rectangle: ut Total area: rectangle  +  triangle = ut  + (v-u)t / 2  = ut  +  at x t / 2  = ut  +  ½ at 2   V U  t
Equation Two ,[object Object]
Equations so far: ,[object Object],[object Object]
Equation Three:  What is the displacement, s of this object?  Time (s) Velocity (ms -1 ) The area below the line of this graph tells you the displacement of the object: Total area: rectangle  +  triangle s = ut  + (v-u) ½  t  MULTIPLE OUT THE BRACKETS! V U  t
ut  +  (v-u) ½  t  ,[object Object],[object Object],[object Object],[object Object]
Equation Three ,[object Object]
Equations so far: ,[object Object],[object Object],[object Object]
Equation 4: ,[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
s = ½ (u+v)  (v-u)÷a   ,[object Object],[object Object],[object Object],[object Object],[object Object]
4 Equations of Motion ,[object Object],[object Object],[object Object],[object Object]
Example: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Which equation should you use? HINT: It has to be one without t in it!!!
4 Equations of Motion ,[object Object],[object Object],[object Object],[object Object]
v² = u² + 2as ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Re arrange first: v² = u² + 2as a = ( v² - u²  ) /  2s a = (0 – 15 2 )  / (2 x 50) a = - 225 / 100 a = -2.25ms -2
Your turn: ,[object Object],[object Object],[object Object]

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Acceleration And Equations Of Motion 2

  • 2. 10 Snail 2.2x10 6 Walking speed 2.5x10 2 Sprinter 1x10 -3 Typical car speed 3x10 8 Jet airliner 1.5 Earth around the Sun 22 Electron around a nucleus 3x10 4 Light Speed ms -1
  • 3. 1x10 -3 Snail 1.5 Walking speed 10 Sprinter 22 Typical car speed 2.5x10 2 Jet airliner 3x10 4 Earth around the Sun 2.2x10 6 Electron around a nucleus 3x10 8 Light Speed ms -1
  • 4.
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  • 8. QUESTION one: If a car accelerates from 5 m/s to 15 m/s in 2 seconds, what is the car's average acceleration? QUESTION two: How long does it take Kitty to accelerate an object from rest to 10 m/s if the acceleration was 2 m/s 2 ? QUESTION three: Ella was running at 16m/s on the pavement. She starts to run on the sand and now has a speed of 10m/s. This change in speed took 2 seconds. What is her “acceleration”? Warm up questions
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  • 30. Equation Three: What is the displacement, s of this object? Time (s) Velocity (ms -1 ) The area below the line of this graph tells you the displacement of the object: Total area: rectangle + triangle s = ut + (v-u) ½ t MULTIPLE OUT THE BRACKETS! V U t
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