Mae103L Assignment 2

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MAE103L: Assignment 2 First Semester 2014 Question 1.1 1.1 Do question 1 of Activity 6 on page 25 of your study guide (tutorial letter 501). (5) a b c d e f g h measuring tape/ trundle wheel Measuring tape/ruler Speedometer micrometer measuring tape/ trundle wheel speedometer tape measure ruler meters Centimeters or millimeters Kilometers millimeters meters Kilometers cm millimeters Correct to nearest 5 cm Correct to the nearest mm Correct to nearest km Correct to nearest µm Correct to nearest m Correct to nearest km Correct to nearest cm Correct to nearest mm 88cm 50km 10mm 300m 1200km 66cm 20mm 1.2 A train covers a distance of 720 km at a speed of xkm/h. On the return journey, it travels at an average speed of ykm/h and completes the whole journey in an hour less. If the speed during the return journey was 10 km/h more, what were the speeds in m/s. (5) y= 10t2 – 10t – 720 = 0 t2 – t – 72 = 0 (t - 9)(t + 8) = 0 t = 9 hours x = 80km/h and y = 90km/h MAE103L: Assignment 2 First Semester 2014 1.3 The label on the water bottle in the drawing shows 500ml. Does it refer to the volume or the capacity? Explain your answer. (3) Capacity is the amount of liquid that a container can hold. The 500ml refers to the volume of the water inside the bottle. The capacity will be more than 500ml. 1.4 Explain the difference between the concepts mass and weight. Give an example. (4) Mass Mass is the amount of matter of an object Weight It a measure of how strongly gravity pulls on that object Example Hold a heavy object like a bigger stone in your hand and you can feel it is heavy due to gravitational force pulling it down. This is weight. When placing this stone on a scale, the scale shows an estimate of the mass. 1.5 Discuss in detail the role of estimation in the development of measurement concepts. (5) Measurement is the process of using mental and

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