Blood flows through a major artery at 1.3 m/sfor 0.40 s, then at 0.70 m/sfor another 0.40 s through a
smaller artery.
Part A Is the average speed of the blood 1.0 m/s, greater than 1.0 m/s
, or less than 1.0 m/s? Verify your answer to Part A by calculating the average speed.2sf
To calculate the average speed, we need to find the total distance traveled and the total time taken.
In the given scenario, the blood flows at a speed of 1.3 m/s for 0.40 s through the major artery, and then at a speed of 0.70 m/s for another 0.40 s through the smaller artery.
To find the total distance traveled, we can use the formula:
Distance = Speed * Time
For the first part of the time (0.40 s) through the major artery:
Distance_1 = 1.3 m/s * 0.40 s = 0.52 m
For the second part of the time (0.40 s) through the smaller artery:
Distance_2 = 0.70 m/s * 0.40 s = 0.28 m
Now, we can find the total distance traveled by adding the distances for each part:
Total Distance = Distance_1 + Distance_2 = 0.52 m + 0.28 m = 0.80 m
To calculate the average speed, we divide the total distance by the total time taken:
Average Speed = Total Distance / Total Time
The total time is the sum of the times for each part (0.40 s + 0.40 s = 0.80 s).
Average Speed = 0.80 m / 0.80 s = 1.0 m/s
Therefore, the average speed of the blood is 1.0 m/s.
Verification:
The average speed is exactly 1.0 m/s, which matches the given value. Hence, the average speed is equal to 1.0 m/s.