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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
Question 4
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.
Answer
To convert the maximum average wind speed from miles per hour (MPH) to kilometers per hour (km/h), we can use the conversion factor where 1 mile is approximately 1.60934 kilometers. Thus, for 95 MPH:
Rounding this to two decimal places gives:
Answer: 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.
Answer
Given that the distance between two vertical gridlines is approximately 205,043 km, and the actual distance from point P to point Q is measured using the provided scale. Let's assume this measurement is found to be 39 gridlines.
To find the average speed, we will first calculate the time taken by the storm:
If the storm's wind speed is approximately 19.56 km/h,
Using the formula:
We rearrange to find Time:
ext{Time} = rac{ ext{Distance}}{ ext{Average Speed}}
Now substituting in the values:
ext{Time} = rac{205,043 ext{ km}}{19.56 ext{ km/h}} = 10,480.09 ext{ hours}
Thus, the predicted average speed from point P to Q calculates as follows:
Answer: 19.56 km/h