Question

The blood flow in the body slows down as it gets further from the heart. It is observed to have a speed of 30cm/sec near the heart and 20cm/s at a point 40cm further along the arterial pathway. Assume constant acceleration. a) What is the average velocity for that 40cm distance? b) How long will it take the blood to flow this distance? c) What is the acceleration?

Answer 1

The blood flow in the body slows down as it gets further from the heart. The average velocity for a 40 cm distance is -0.25 cm/s. The time it takes to travel this distance cannot be determined without the correct time measurement.

Step-by-step explanation:

To find the average velocity, we can use the equation:

Average velocity = (final velocity - initial velocity) / time

In this case, the initial velocity is 30 cm/s and the final velocity is 20 cm/s. The distance traveled is 40 cm.

So, the average velocity = (20 cm/s - 30 cm/s) / 40 cm = -0.25 cm/s

To find the time it takes to travel the 40 cm distance, we can rearrange the equation to solve for time:

Time = distance / average velocity = 40 cm / (-0.25 cm/s) = -160 s

Since time cannot be negative, there may be an error in the given data. Please check the measurements again.

The acceleration can be found using the equation:

Acceleration = (final velocity - initial velocity) / time

Since we don't have the correct time, we cannot determine the acceleration. Please double-check the given data.