Modelling involving Numerical Methods
1. This question has 2 part(s).
1.1. A stretch of road along Equality Street has a speed limit of 70 mph and traffic is monitored by six average speed cameras.
Ricky is driving his car along Equality Street and passes the first camera at time zero. Ricky’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 |
Time (hours) | 0 | 0.05 | 0.1 | 0.15 | 0.2 | 0.25 |
Speed (mph) | 68 | 72 | 69 | 71 | 70 | 70 |
Use all the results above to estimate the distance between the first and last camera.
1.2. A driver will receive a speeding ticket if their average speed between the first and last camera exceeds the speed limit. Should Ricky receive a speeding ticket or not? Justify your answer.
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