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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 kilometers per hour.

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Answer

The maximum average wind speed of Dineo is 95 miles per hour. To convert this speed to kilometers per hour, we use the conversion factor:

1extmile=1.60934extkm1 ext{ mile} = 1.60934 ext{ km}

Thus,

= 152.887 ext{ km/h}$$ Rounding off to two decimal places, the maximum average wind speed is: **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

Using the formula:

extDistance=extaveragespeedimesexttime ext{Distance} = ext{average speed} imes ext{time}

From the question, the distance between points P and Q is approximately 205,043 km. We can assume a time duration for the storm's movement between these points. Let’s suppose it takes 24 hours:

extAveragespeed=DistanceTime ext{Average speed} = \frac{\text{Distance}}{\text{Time}}

Using the values:

= 8,544.29 ext{ km/h}$$ Thus, the average speed of the storm from point P to point Q is approximately: **8,544.29 km/h**.

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