Final answer:
The average velocity of Juan's mother's automobile is found by dividing the displacement (15 miles) by the time in hours (0.3 hours), which equals 50 miles per hour. The options provided in the question do not include this answer, suggesting an error in the given choices.
Step-by-step explanation:
The question asks to calculate the velocity of Juan's mother's automobile as she travels to the mall. We can determine her average velocity by using the formula for velocity, which is displacement divided by time. Since velocity is a vector quantity, it includes both magnitude and direction, but the question provides only the magnitude of the displacement and the time, implying to calculate the magnitude of the average velocity.
First, convert the time from minutes to hours to get the velocity in miles per hour:
- 18 minutes = 18/60 hours = 0.3 hours
Next, use the formula to calculate the average velocity:
- Velocity = Displacement / Time
- Velocity = 15 miles / 0.3 hours
- Velocity = 50 miles per hour
Therefore, the correct answer is not listed among the options provided. The question seems to have an error in the given answers, and to answer accurately, the velocity of her automobile is 50 miles per hour, given the provided information.