Blood flows through a major artery at 1.3 m/s for 0.40 s, then at 0.70 m/s for another 0.40 s through a smaller artery.
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.
Well, blood certainly likes to mix things up in its arteries! But let me calculate the average speed for you, just to be sure.
First, let's find the total distance traveled. In the first artery, the blood traveled at 1.3 m/s for 0.40 s, so the distance covered would be 1.3 m/s × 0.40 s = 0.52 m.
In the smaller artery, the blood flowed at 0.70 m/s for another 0.40 s, so the distance covered would be 0.70 m/s × 0.40 s = 0.28 m.
To find the total distance, we sum up the distances: 0.52 m + 0.28 m = 0.8 m.
Now we find the total time: 0.40 s + 0.40 s = 0.80 s.
Finally, we calculate the average speed by dividing the total distance by the total time: 0.8 m / 0.80 s = 1.0 m/s.
So, the average speed of the blood is indeed 1.0 m/s, just like we calculated! Blood really knows how to keep it steady.
To calculate the average speed of the blood, we can use the formula:
Average Speed = Total Distance / Total Time
From the given information, we know that the blood flows through the major artery at a speed of 1.3 m/s for 0.40 s, and then through the smaller artery at a speed of 0.70 m/s for another 0.40 s.
Let's calculate the total distance traveled by the blood first:
Distance in the major artery: 1.3 m/s * 0.40 s = 0.52 m
Distance in the smaller artery: 0.70 m/s * 0.40 s = 0.28 m
Total Distance = Distance in major artery + Distance in smaller artery
Total Distance = 0.52 m + 0.28 m = 0.80 m
Now, let's calculate the total time taken:
Total Time = Time in major artery + Time in smaller artery
Total Time = 0.40 s + 0.40 s = 0.80 s
Finally, calculating the average speed:
Average Speed = Total Distance / Total Time
Average Speed = 0.80 m / 0.80 s
Average Speed = 1.0 m/s
Therefore, the average speed of the blood is 1.0 m/s, which verifies the answer.
To calculate the average speed, we need to first calculate the total distance traveled by the blood and the total time taken.
In the first stage, the blood flows through a major artery at a speed of 1.3 m/s for a duration of 0.40 s. The distance covered in this stage can be calculated using the formula:
Distance = Speed × Time
Distance1 = 1.3 m/s × 0.40 s = 0.52 m
In the second stage, the blood flows through a smaller artery at a speed of 0.70 m/s for a duration of 0.40 s. The distance covered in this stage can be calculated using the same formula:
Distance2 = 0.70 m/s × 0.40 s = 0.28 m
To find the total distance traveled, we add the distances from both stages:
Total Distance = Distance1 + Distance2
= 0.52 m + 0.28 m
= 0.80 m
The total time can be calculated by adding the durations of both stages:
Total Time = Time1 + Time2
= 0.40 s + 0.40 s
= 0.80 s
Now we can calculate the average speed using the formula:
Average Speed = Total Distance / Total Time
= 0.80 m / 0.80 s
= 1.0 m/s
The average speed of the blood is 1.0 m/s, which means it is equal to 1.0 m/s.
Less than 1.0 m/s.
1.3*.4 = .52
.7*.4 = .28
total distance = .8
total time = 1.1
av speed = .8/1.1 = .73 m/s