Blood is accelerated from rest to 30.0 cm/s in a distance of 1.80 cm by the left ventricle of the heart. How long does the acceleration take?

Acceleration will take for 0.12 seconds.

Explanation:

Given:

Initial velocity of the blood, = 0 m/s

Final velocity of the blood, = 30 cm/s = 0.3 m/s

Distance to be considered, = 1.80 cm = 0.018 m

We have to find the time taken to covered the said distance.

Let the time taken be "t" seconds.

Equation of motion:

⇒ ...equation (i)

⇒  ...equation (ii)

Now,

Using equation (i) we can say that:

⇒

⇒

⇒            ...equation (iii)

Plugging x = 0.018 m in equation (ii).

⇒

⇒   ...breaking at^2 as (at)(t)

⇒

⇒      ...plugging at=0.3 from equation (iii)

⇒

⇒

⇒

⇒

The acceleration will take for 0.12 seconds.