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FIFA For Equations (Physics SUVAT) Upper Secondary Ages 14-16

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Published in: Physics
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A PPT to teach the process of FIFA to solve equations and maximise marks. Uses modelling to teach the process (I Do, We Do, You Do). Links SUVAT equations to DT Graphs. Used with a progressively challenging SLOP worksheet (Shed Loads Of Practice)

Angus R / Dubai

5 years of teaching experience

Qualification: B.Sc (Hons), MBA, PGCE Secondary Science, MCCT

Teaches: Biology, Chemistry, Mathematics, Physics

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  1. An us ussell Silent Starter: Something to think about . What do all these items have in common: Units of speed are kph or km/h distance speed = 20 % time 0.25 = 1/4 7/10 velocity = displacement/time 5/9 Units of speed are m/s 27 out of 30
  2. Reactivate . Write down the units of acceleration in science. 2. What does the slope of a distance—time graph indicate? 3. What does a horizontal line on a distance-time graph mean? 4. What does a horizontal line on a velocity-time graph mean? 5. What is the definition of acceleration?
  3. Learning Objectives • Use FIFA method to solve SUVAT equations v2 = u2 + 2as v = U + at • Link equations to D-T Graphs
  4. Angus Russell Key Definitions: • accelerating. getting faster • acceleration: the rate of change of increasing velocity decelerating: getting slower • deceleration: the rate of change of decreasing velocity • distance—time graph: a graph showing distance travelled at certain intervals of time gradient: the slope of a line or surface • velocity—time graph: a graph showing velocity of an object at certain intervals of time average speed = distance moved time taken
  5. Distance, Speed and Time: I Do Speed = 5m/s Formula Insert values with units Fine-tune Answer with units Fatima walks 0.2km in 40 seconds. What is her speed? distance moved (in metres) Ave. Speed = time taken (in seconds) F F Speed = D/ T Speed - - 0.2km / 40s Speed - - 200m/40s
  6. DO NOW la l) Ruby covers 2 km in 1 ,OOO seconds. What is her speed? 2) How long would it take Sofia to run 100 metres if she runs at 10 m/s? 3) Aaron runs to the shop to buy Fifa 19 and travels at 50 m/s for 20 s. How far does he go? 4) Taylor drives her car at 85 mph (about 40 m/s). How long does it take her to drive 20 km?
  7. DO NOW: 1b l) Eliza walks 2000m in 50 minutes. What is her speed in m/s? 2) Archie tries to walk the same distance at a speed of 5m/s. How long does he take? 3) Daoud drives at 90km/h for 3 hours. How far has he gone? 4) The speed of sound in air is 330m/s. Isobel shouts at a mountain and hears the echo 3 seconds later. How far away is the mountain? (Careful!)
  8. Angus Russell Speed What are the typical speeds for when you walk, run and ride a bike? Walking 1.5m/s Running 3m/s Cycling 6m/s $0 Convert from m/s to kph? m/s x 3.6 = kph Convert from kph to m/s? kph x 5/18
  9. Bishdhêe-time graphs time/s 30 24 18 0.0 0.5 1.0 1.5 time/s 2.0 2.5 time/s time/s
  10. Distance-time graphs 4) Diagonal line downwards = 3) Steep r diagonal line = 2) Horiz ntal line = l) Diagonal line =
  11. Distance—time graph gradients The distance / time graphs • If your speed is not changing, Calculate the acceleration from the tangent Of the curve. your speed and your average speed are the same. • It is the gradient of the straight line. • If your speed is changing, the line is a curve. So, your average speed, and, therefore, the gradient will also be changing. to 8 6 4 2 tatvent 6 / So écceleratian is 2 8 10 6 Time s
  12. DO NOW 2 1) 2) 3) 4) Distance (metres) 40 30 20 10 20 40 60 80 Time/s 100 What is the speed during the first 20 seconds? How far is the object from the start after 60 seconds? What is the speed during the last 40 seconds? When was the object travelling the fastest?
  13. DO NOW 3 Distance (metres) 40 30 20 10 20 Time/s 40 60 80 100 1) Who was travelling the fastest? 2) Who was travelling the slowest (but still moving)? 3) Who didn't move?
  14. An us Russell Db NOW 4 Produce a distance-time graph for the following journey: 1) Christina walks 40 m in 30 seconds. 2) She then stands still for 10 seconds 3) She then runs away from Luke and covers 80 m in 20 seconds. 4) 5) She then stands still and catches her breath for 20 seconds. She then slowly walks back to the start and covers the total 120 m in 50 seconds.
  15. Ang s Ru ell DO NOW 4
  16. An - Distance/m DO NOW4 Time/s
  17. Angus Russell Calculating acceleration An acceleration can be calculated if we know the change in velocity, and the time taken for the change to happen. a v u t change in velocity acceleration= time taken is the acceleration is the final velocity is the initial velocity is the time taken for the change in velocity.
  18. Angus Russell Calculating acceleration 2 v2— = 2 x ax s Acceleration can also be calculated from the change in velocity and the distance travelled while the velocity was changing. a v u s v2 — u2 = 2as is the acceleration is the final velocity is the initial velocity is the distance travelled (while the velocity was changing).
  19. Angus Russell Questions: I Do A car is travelling at 5 m/s. It accelerates to 15 m/s in 2 seconds. What is its acceleration? v2 — = 2 as Formula Insert values with units Fine-tune Answer with units 15m/s — 5 m/s 2 10 2 a = 10 m/s/s
  20. Angus Russell Questions: We Do The brakes on a lorry provide a deceleration of 2 m/s2. How long does it take the lorry to slow down from 25 m/s to 17 m/s? v2 — = 2 as Formula Insert values with units Fine-tune Answer with units 17 m/s — 25 m/s —2 m/s2 = t -8 —2 4 Sec
  21. Angus Russell Questions: You Do QI -4 1 . A car travels 500 metres while accelerating from 5m/s to 10 m/s. What is its acceleration? 2. A car is travelling at 5 m/s. It accelerates to 15 m/s in 2 seconds. Calculate the acceleration. 3. A cyclist is travelling at 10 m/s and applies the brakes. She slows down to 2 m/s in 4 seconds. Calculate her acceleration. 4. The brakes on a lorry provide a deceleration of 2 m/s2. How long does it take the lorry to slow down from 25 m/s to 17 m/s?
  22. Angus Russell Questions: You Do 5-8 5. A motorcycle is travelling at 10 m/s. It accelerates at 6 m/s2 for 4 seconds. Calculate its final velocity. 7. A car travels 50 metres while accelerating from 5 m/s to 10 m/s. What is its acceleration? 6. A car decelerates at 3 m/s2 for 3 seconds. Its final velocity is 10 m/s. What was its initial velocity? 8. A skydiver accelerates from O m/s to 5m/s at an acceleration of 10 m/s2. How far do they fall during this acceleration?
  23. Angus Russell Questions: You A car travels 500 metres while accelerating from 5 m/s to 10 m/s. What is its acceleration? v2 — u2 = 2 as Formula Insert values with units Fine-tune Answer with units — = 2 as (10 m/s)2— (5 m/s)2 = 2 xa x 500m 100-25 = 1000 xa a = 75/1000 a = 0.075 m/s2
  24. Angus Russell Questions: You Do 2 A car is travelling at 5 m/s. It accelerates to 15 m/s in 2 seconds. Calculate the acceleration. Make sure you write the two velocities in the correct order. The starting velocity is always last. Formula Insert values with units Fine-tune Answer with units (15 m/s —5m/s) 10 m/s a = 5m/s2
  25. Angus Russell Questions: You Do 3 A cyclist is travelling at 10m/s and applies the brakes. She slows down to 2 m/s in 4 seconds. Calculate her acceleration. (2 m/s— 10 m/s) -8 m/s a = -2 m/s2 Formula Insert values with units Fine-tune Answer with units If the object is slowing down, the acceleration will be negative.
  26. Angus Russell Questions: You Do 4 The brakes on a lorry provide a deceleration of 2 m/s2. How long does it take the lorry to slow down from 25 m/s to 17 m/s? If the object is slowing down, the acceleration will be negative. -2 m/s2 = -8 -8 -2 It is slowing down to 17 m/s, so this is the final velocity. 17 m/s — 25 m/s t = 8 sec
  27. An us Russell SUVAT Equations so VAT S: initial 2as 6 a = t tine. S • ut h ata s. ut.Xat'