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Published byRodger Hubbard Modified over 9 years ago
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Chapter 3 SPEED
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Distance = Speed X Time Answer can be in metres (m) or kilometres (km)
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A car drove at 72km/h for 3 hours. Calculate the distance travelled. Distance = 72 km X 3 hrs Distance = 216km
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Speed = Distance Time Answer can be in metres per second(m/s) or kilometres per hour (km/h)
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A girl ran 12km in 1hr and 30mins. Calculate her average speed. Speed = Distance Time Speed = 12km 1.5hrs Answer = 8km/h
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Time = Distance Speed Time can be measured in seconds (s) or hours (h)
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John drives to Dublin a distance of 110km. His average speed for his journey is 95km/hr. How long did it take John to get to Dublin? Time = Distance speed Time = 110km 95km/h Time = 1.15h
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Distance-Time Graphs When we calculate the speed throughout a journey we get an average. If we want a speed for a more specific point in time we could use a distance time graph. These graphs are simple and easy to use.
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Velocity The velocity of an object is its speed in a certain direction
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Question You are about to run a 100metre race. Someone tells you the wind-speed is 40km/h. Would you be happy or sad? What difference could the wind speed make to the time it takes you to run 100m?
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So its not just the speed that’s important. The direction is also crucial. Velocity
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A car has an accelerator. If you put your foot on the accelerator you can increase the speed or velocity of the car in a certain direction Acceleration is the difference in speed now and the speed one second from now. Acceleration
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Acceleration is the rate of change of velocity (or speed) Acceleration = Change in Velocity or speed Time Taken Measured in m/s²
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Q. In a race a car changed its velocity from 0m/s to 102m/s in 7 seconds. What was its acceleration? A. (Final Velocity – Initial Velocity) Time taken = (102 – 0) m/s = 102 m/s = 14.57 m/s² 7 s 7 s
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Velocity-Time Graphs This graph allows us to measure the change in velocity over a certain time period. It also allows us to measure acceleration. These graphs are simple and easy to use.
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Chapter 3 Area, Volume and Density
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AREA The area of shape is the size of its surface
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The area of a triangle is the space enclosed by the three lines
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Area of a rectangle= length x width Area is measured in metres squared (m²) or centimetres squared (cm²)
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Area = 8 x 5 cm = 40cm²
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Area = 5 x 6 cm = 30cm²
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Area of triangle = ½ the base x perpendicular height
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3cm x 4.5cm = 13.5cm²
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Area of a circle = Radius (r) x radius (r) x π (3.14)
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Area of a circle = 4cm x 4cm x 3.14 = 50.2cm² 4cm
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VOLUME The volume of an object is the amount of space is it takes up
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Volume is measured in cubic metres (m³) or cubic centimetres (cm³) Volume is also measured in litres ( l ) 1 litre = 1000cm³
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Volume of a Solid If its a regular shape then we use the formula: Length x width x height
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8CM X 5CM X 3CM = 120CM³
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Volume of a Solid If its an irregular shape then we use displacement
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Remember always take your reading from the bottom of the meniscus.
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Mass Which is heavier a tonne of feathers or a tonne of coal? There the same
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Which is heavier, lead or water? At first it seems logical that lead is heavier than water Buts its not a fair question... To make it fair we need to compare the mass of a similar volume of each.
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Mass The mass of an object is the quantity of stuff or ‘’matter’’ in it. Mass of 1cm³ of water = 1g Mass of 1cm³ of lead = 11.2g
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In science we call the ‘mass per unit volume’ of an object its density.
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