Final answer:
Aurelia left the point -50 at 10 seconds and the point -24 at 4.8 seconds while running to the right at a rate of 5 meters per second.
Step-by-step explanation:
To determine when Aurelia left the points -50 and -24, we need to consider her velocity and position. Since Aurelia is running to the right at a constant velocity of 5 meters per second, we can use the formula distance = velocity × time to find the time it took for her to reach point 0 from each starting point.
For the point -50, we calculate the time as follows:
Distance from -50 to 0: 50 meters
Velocity: 5 m/s
Time: Distance / Velocity = 50 m / 5 m/s = 10 seconds
Thus, Aurelia left the point -50 at 10 seconds.
For the point -24, we calculate the time as:
Distance from -24 to 0: 24 meters
Velocity: 5 m/s
Time: Distance / Velocity = 24 m / 5 m/s = 4.8 seconds
Therefore, she left the point -24 at 4.8 seconds. The option that matches our findings would be option b.