Question

The left ventricle of the heart accelerates blood from rest to a velocity of 26 cm/s. (a) If the displacement of the blood during the acceleration is 2.0 cm, determine its acceleration (in cm/s2). 170 Correct: Your answer is correct. cm/s2 (b) How much time does blood take to reach its final velocity

Answer 1

Explanation:

Initial speed of blood, u = 0

Final speed of the blood, v = 26 cm/s

(a) Displacement of the blood, d = 2 cm

Let a be its acceleration. It can be calculated using third equation of motion as :

$a=\dfrac{v^2-u^2}{2s}$

$a=\dfrac{(26)^2}{2\times 2}$

$a=169\ cm/s^2$

(b) Let t is the time taken by the blood to reach its final speed. It can be calculated as :

$t=\dfrac{v-u}{a}$

$t=\dfrac{26\ cm/s}{169\ cm/s^2}$

t = 0.15 s

Hence, this is the required solution.