Final answer:
Taylor's average speed during her run and sprint combined is 6.00 m/s, calculated by summing the total distance (3000 m) and total time (500 s) and then dividing the distance by the time.
Step-by-step explanation:
To calculate Taylor's average speed during her run and sprint combined, we must first determine the total distance covered and the total time taken. Taylor runs a distance of 2000 m at a speed of 5.00 m/s, and then sprints for 100.0 s at a speed of 10.0 m/s.
First, calculate the time for the run segment:
- Time for run = Distance / Speed = 2000 m / 5.00 m/s = 400 s
Now, determine the distance covered during the sprint:
- Distance during sprint = Speed * Time = 10.0 m/s * 100.0 s = 1000 m
The total distance covered is the sum of the distances of the run and sprint:
- Total distance = 2000 m + 1000 m = 3000 m
The total time taken is the sum of the time for the run and the sprint:
- Total time = 400 s + 100.0 s = 500 s
Now we can calculate the average speed:
- Average speed = Total distance / Total time = 3000 m / 500 s = 6.00 m/s
Therefore, Taylor's average speed during her run and sprint combined is 6.00 m/s.