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During February 2017 tropical storm Dineo caused damage to property in Mozambique, but it also brought much needed rain - NSC Mathematical Literacy - Question 4 - 2017 - Paper 2

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During February 2017 tropical storm Dineo caused damage to property in Mozambique, but it also brought much needed rain. Below is a chart issued by Meteo France (the... show full transcript

Worked Solution & Example Answer:During February 2017 tropical storm Dineo caused damage to property in Mozambique, but it also brought much needed rain - NSC Mathematical Literacy - Question 4 - 2017 - Paper 2

Step 1

Convert (rounded off to TWO decimal places) the maximum average wind speed to kilometres per hour.

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Answer

To convert the wind speed from miles per hour (MPH) to kilometres per hour (km/h), we can use the conversion factor where 1 mile = 1.60934 km. Therefore:

95extMPHimes1.60934extkm/Mile=152.8876extkm/h95 ext{ MPH} imes 1.60934 ext{ km/Mile} = 152.8876 ext{ km/h}

Rounded off to two decimal places, the maximum average wind speed is approximately 152.89 km/h.

Step 2

Calculate, using the measured distance, the predicted average speed (in km/h) of the storm from point P to point Q.

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Answer

Given the distance between two vertical gridlines is approximately 205,043 km, and the time taken for the storm to travel from point P to Q is 24 hours, we can use the formula:

ext{Average Speed} = rac{ ext{Distance}}{ ext{Time}}

Substituting the known values:

ext{Average Speed} = rac{205,043 ext{ km}}{24 ext{ hours}} = 8,542.6 ext{ km/h}

Thus, the predicted average speed of the storm from point P to Q is approximately 8,542.6 km/h.

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