Answer :

Final answer:

The average speed over the entire 12.00 km drive, with different speeds for each 6.00 km, is calculated as total distance divided by total time which is approximately 64.24 km/h.

Explanation:

The subject of your question is related to the concept of average speed in Physics. To calculate the average speed, you need to add up all the distances travelled and divide by the total time it took. You've driven 6.00 km at 50.0 km/h and another 6.00 km at 90.0 km/h. The time for the first part of the trip can be calculated using Time = Distance/Speed, which gives us 6.00 km / 50.0 km/h = 0.120 hours. Similarly, the time for the second part of the trip is 6.00 km / 90.0 km/h = 0.0667 hours.

Adding these times together, the total time for the trip is 0.120 hours + 0.0667 hours = 0.1867 hours. The total distance is 6.00 km + 6.00 km = 12.00 km. Therefore, the average speed for the whole trip is Total Distance / Total Time or 12.00 km / 0.1867 hours, which gives us approximately 64.24 km/h.

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