Final answer:
To find the average velocity from your best friend's mother's house to the school, total displacement (23,000 m west) and total time (12,900 s) are calculated, yielding an average velocity of approximately 1.78 m/s, which is not listed in the given choices. So, no answer is correct.
Step-by-step explanation:
To calculate the average velocity that your best friend's mother traveled between her house and the high school, you first need to figure out the total displacement and the total time for the trip.
The total displacement is the sum of the distance she traveled west to pick you up (8,000 m) and the additional distance to the school (15,000 m).
Therefore, the total displacement is 8,000 m + 15,000 m = 23,000 m west.
The total time taken is the sum of the time to pick you up (900 s) and the time to get to school (12,000 s), which equals 900 s + 12,000 s = 12,900 s.
The formula for average velocity is the total displacement divided by the total time. Therefore, the average velocity is:
Average velocity = Total displacement / Total time
- = 23,000 m / 12,900 s
- = 1.7829 m/s
However, the listed answer choices (A, B, C, D) do not include this value, thus suggesting there might be an error in the choices provided or that the correct answer needs to be rounded to the nearest whole number, making the answer approximately 1.78 m/s, which is synonymously not present in the options given. Therefore, based on the provided choices, no answer is correct.