Thinking Physic-ly: On some toll roads, the ticket is stamped with the time you enter the toll road and the time you exit. How can the toll taker determine if you were speeding?
By dividing the known distance between toll booths by the time interval.
To determine if a driver was speeding on a toll road using the ticket timestamp, the toll taker would need to calculate the average speed of the vehicle between entry and exit. Here is an explanation of how this can be done:
1. Retrieve the ticket: The toll taker would first need to retrieve the ticket from the driver for reference.
2. Note the entry and exit times: The toll taker should carefully note both the entry and exit times mentioned on the ticket.
3. Calculate the time difference: The toll taker would calculate the time difference between the entry and exit times. This can be done by subtracting the entry time from the exit time.
4. Measure the distance: It is essential to determine the distance between the entry and exit points of the toll road. This can be achieved through various means, such as using GPS coordinates or predefined markers on the road.
5. Calculate the average speed: To calculate the average speed, the toll taker needs to divide the distance traveled by the time taken. The formula for average speed is:
Average Speed = Distance / Time
6. Compare with the speed limit: Finally, the calculated average speed can be compared to the speed limit on the toll road. If the average speed exceeds the speed limit, it indicates that the driver was speeding.
It's important to note that this method only provides an average speed over the entire distance traveled. It does not provide information about the vehicle's speed at any specific point on the toll road. For more accurate speed measurements, additional methods like using speed cameras or radar would be required.