Modelling involving Numerical Methods
1. This question has 3 part(s).
1.1. A stretch of road along Baker Street has a speed limit of 60 mph and traffic is monitored by eight average speed cameras.
Sherlock is driving along Baker Street and passes the first camera at time zero. Sherlock’s speed, measured in miles per hour, and the time he passes each camera, are recorded in the table below.
Camera | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
Time (minutes) | 0 | 4 | 8 | 12 | 16 | 20 | 54 | n/a |
Speed (mph) | 64 | 59 | 61 | 62 | 57 | 58 | 60 | n/a |
(i) Suggest a reason why the last camera did not record any data for Sherlock’s journey.
(ii) Suggest a reason why there was a longer time gap between the sixth and seventh camera.
1.2. Use the results from the table to estimate the distance between the first and sixth camera.
1.3. Briefly explain why it would not be suitable to use the trapezium rule for estimating the distance between the first and seventh camera.
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১০ লক্ষ+ প্রশ্ন ডাটাবেজ
প্র্যাকটিস এর মাধ্যমে নিজেকে তৈরি করে ফেলো
উত্তর দিবে তোমার বই থেকে ও তোমার মত করে।
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