Movement and Position
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1 Movement and Position Book pg 1-4 Syllabus 1.2, 1.3 and 1.6
2 Milhouse Remember what you see! Mo Mr. Burns Sideshow Bob Groundkeeper Willy Net Flanders
3 Questions Which hand is Ned Flanders waving? - left What colour is Mr. Burn s tie? - orange How many balloons does Sideshow Bob have? - three What colours are they, and how many of each? 2 green, 1 pink Which hand is ground keeper Willy s shovel in? - left What is Mo holding? - a telephone and a tea towel What colour is Millhouse s shirt? - purple
4 How do we calculate speed? Have you ever wondered? cgrahamphysics.com How fast are these things?
5 October 29, 215 Motion Today s learning objecpves are to (a) State the difference between speed and velocity (b) Represent mopon on a distance - Pme graph
6 What is speed? Speed is a measure of how far an object moves in a given time. This car is travelling at 6 km/h. This means the car travels 6 kilometer every hour. This jet is travelling at 35 m/s. This means the jet travels 35 metres every second.
7 Speed The average speed is the Pme it takes to cover a specific distance. Speed = Distance travelled Time Taken v = speed (m/s) or (km/h) d = distance traveled (m) t = Pme (s) v= d/t Convert to scienpfic notapon! m/s s d : : A snail travels 3 meter in one hour. What is its average speed? SoluPon v= d/t = 3/6x6 =.83m/s t
8 How is velocity different to speed? The speed of an object does not depend on the direction in which it is travelling. The velocity of an object is the speed and direction in which it is moving. The car is travelling north with a velocity of 1 m/s. As the car goes round the corner, the speed of the car remains constant but the velocity changes.
9 Displacement Displacement is the net distance from the starting point. It is not the same as the distance an object has travelled. displacement = 1.1 km For example, Jody roller skates 2.1 km to her friend Selma s house. Her displacement however, is only 1.1 km north east. This is the straight line distance she is from her starting point. distance travelled = 2.1 km Like velocity, displacement measurements must include an indication of direction.
10 Velocity is speed with direction Velocity is equal to displacement over Pme For constant velocity, speed must stay the same and there cannot be a change in direcpon Example Super snail travels at 3m/s south. How far does it travel in 2 minutes? v= d/t d=v t t=2min = 12s d = 3 x 12 = 36 m south or 3.6km south
11 Example An aircraa flies at 2m/s north. How long does it take to cover 15km? SoluPon v= d/t t= d/v = 15/2 =75s=12.5min
12 This car is travelling at a velocity of 2m/s east Speed vs. Velocity Speed is simply how fast you are travelling Velocity is speed in a given direction This car is travelling at a speed of 2m/s
13 Representing speed
14 Analysing distance time graphs
15 Calculating speed from the gradient The slope of a graph is called the gradient. The gradient of the line in a distance time graph equals the speed. It is difficult to calculate the gradient of realispc graphs because the line is curved. distance Simple graphs use straight lines only, making it easy to calculate the gradient. distance time time
16 Distance- time graphs 2) Horizontal line = 4 4) Diagonal line downwards = Distance 3 (metres) 2 1 Time (s) ) Diagonal line = 3) Steeper diagonal line =
17 d (m) 4 Distance 3 (metres) Time (s) 1) What is the speed during the first 2 seconds? 2) How far is the object from the start after 6 seconds? 3) What is the speed during the last 4 seconds? 4) When was the object travelling the fastest?.5m/s 4m 1m/s 4-6s
18 d(m) Distance (metres) ) What was the velocity in the first 2 seconds? Time (s) 1.5m/s 2) What was the velocity between 2 and 4 seconds? 3) When was this person travelling the fastest? 4) What was the average speed for the first 4 seconds?.5m/s 8-1s 1m/s
19 Distance- time graph for changing speeds 4 Distance (metres) Object 3 is speeding up here 2 1 Object is slowing down here Time/s
20 Homer 1. The bell goes and Homer stops work and runs 25m to his car, this takes him 5 minutes. 2. Homer drives for 1 minutes but only gets 2m before he needs to stop for a doughnut. 3. He sits in his parked car and spends 5 minutes eating the doughnut. 4. Finally he starts the engine and drives for 5 minutes, 1m back home. Distance travelled (m) Time taken (mins)
21 Bart 1. Bart sprints 1m through school which takes a minute. 2. He then jumps on his skateboard and takes 4 minutes to dodge his way 5m through a crowd of people. 3. Bart jumps off at Apu s and looks around for 1 minutes 4. Finally he jumps back on his skateboard and travels 75m back in a record time of 4 minutes! Distance travelled (m) Time taken (mins)
22 Lisa 1. Lisa sees the time and spends 5 minutes packing her saxophone away. Its then a 5 minute walk to her bike 3m away. 2. She then cycles on a flat 8 metres in 5 minutes. 3. At this point she reaches a hill and slows down, travelling the next 3 metres in 3 minutes, before reaching home. Distance travelled (m) Time taken (mins)
23 Marge 1. Marge sets off carefully from her shopping trip, driving 15m in 1 minutes 2. She then realises she might be late so speeds up, covering the next 1m in 2 ½ minutes before reaching traffic lights 3. She waits at the lights for 5 minutes. 4. She drives 5m home, this takes 5 minutes. Distance travelled (m) Time taken (mins)
24 If they all set off at the same time who was the first to reach the sofa? How long was Maggie s complete journey? Which Simpson reached the fastest speed? If Homer left 5 minutes early would he beat the rest to the couch? Who is the closest to home after 5 minutes?
25 Speed, distance, time calculations
26 Homer 1. The bell goes and Homer stops work and runs 25m to his car, this takes him 5 minutes. 2. Homer drives for 1 minutes but only gets 2m before he needs to stop for a doughnut. 3. He sits in his parked car and spends 5 minutes eating the doughnut. 4. Finally he starts the engine and drives the 1m back home. Distance travelled (m) Time taken (mins)
27 Bart 1. Bart sprints 1m through school which takes a minute. 2. He then jumps on his skateboard and takes 4 minutes to dodge his way 5m through a crowd of people. 3. Bart jumps off at Apu s and looks around for 1 minutes 4. Finally he jumps back on his skateboard and travels 75m back in a record time of 4 minutes! Distance travelled (m) Time taken (mins)
28 Lisa 1. Lisa sees the time and spends 5 minutes packing her saxophone away. Its then a 5 minute walk to her bike 3m away. 2. She then cycles on a flat 8 metres in 5 minutes. 3. At this point she reaches a hill and slows down, travelling the next 3 metres in 3 minutes, before reaching home. Distance travelled (m) Time taken (mins)
29 Marge 1. Marge sets off carefully from her shopping trip, driving 15m in 1 minutes 2. She then realises she might be late so speeds up, covering the next 1m in 2 ½ minutes before reaching traffic lights 3. She waits at the lights for 5 minutes. 4. She drives 5m home, this takes 5 minutes. Distance travelled (m) Time taken (mins)
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