The left ventricle of the heart accelerates blood from rest to a velocity of 23 cm/s. If the displacement of the blood during the acceleration is +2.1 cm, what is its acceleration? How much time does blood take to reach its final velocity?

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oipineonz5j · Accepted Answer

Since no path is provided, I&#039;ll assume that the acceleration is constant and the motion is one-dimensional. Let&#039;s list the variables we are aware of for this issue:            v              0        x              =    0              v      x        =    23                  c        m            s            Δ    x    =    2.1    c    m  Since no specific time is given, we must determine both the acceleration—which I&#039;ll assume is the average acceleration—and the amount of time it takes for the blood to reach its final velocity.To find the acceleration, we&#039;ll use the equation                    (                  v          x                )            2        =                  (                  v                      0            x                          )            2        +    2          a      x              (      Δ      x      )      And plug in known variables, and solve for             a      x      :            a      x        =                                        (                          v              x                        )                    2                -                              (                          v                              0                x                                      )                    2                            2        Δ        x              =                            (          23                                    c              m                        s                    )                2                    2                  (          2.1          c          m          )                          =    130                  c        m                              s          2                    The time #t# can now be found using            v      x        =          v              0        x              +          a      x        t  Plug in known variables and solve for t:      t    =                  Δ                  v          x                                      a          x                      =                  23                              c            m                    s                            130                              c            m                                              s              2                                            =    0.18    s

The left ventricle of the heart accelerates blood from rest to a velocity of 23 cm/s. If the displacement of the blood during the acceleration is +2.1 cm, what is its acceleration? How much time does blood take to reach its final velocity?

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