# Applications of the Equations of Kinematics

## Homework Statement

Please help me with this problem. If you could at least give me the formula I could probably figure it out. I have worked out all of my homework but this one.

Please type out the formula in word form. I have a hard time figuring out what is squared and what all is under the division symbol, ex. (x= v^2 - vo^2 / 2a) displacement equals (final velocity squared minus initial velocity squared) divided by (2 times acceleration). Thanks I greatly appreciate it.

Question:
The left ventricle of the heart accelerates blood from rest to a velocity of +27 cm/s.

(a) If the displacement of the blood during the acceleration is +1.9 cm, determine its acceleration (in cm/s2).

(b) How much time does it take for the blood to reach its final velocity? (in seconds)

## The Attempt at a Solution

Work Energy theorem. Work done equals energy. (Force)x(Distance)= 1/2 (mass)(velocity)^2.

Take mass out of each side of the equation. You have this written already, just apply it.

Under constant acceleration, Velocity equals acceleration x time.

Thanks,

I got 192 cm/s^2 for answer to A. And 14 s for answer to B. Seems like they would have asked for time first since I used it to figure out the acceleration.

Thanks again

Actually, the time should be 0.14 s, I'm pretty sure. Here is the equation I used to calculate time: v = vo + at (final velocity is equal to initial velocity plus acceleration times time). Therefore, t = v - vo/a, which yields 0.14 s.