Answer:
Acceleration will take for 0.12 seconds.
Explanation:
Given:
Initial velocity of the blood, [tex]v_i[/tex] = 0 m/s
Final velocity of the blood, [tex]v_f[/tex] = 30 cm/s = 0.3 m/s
Distance to be considered, [tex]x[/tex] = 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:
⇒ [tex]v_f=v_i+at[/tex] ...equation (i)
⇒ [tex]x=v_it+\frac{at^2}{2}[/tex] ...equation (ii)
Now,
Using equation (i) we can say that:
⇒ [tex]v_f=v_i+at[/tex]
⇒ [tex]0.3=0+at[/tex]
⇒ [tex]0.3=at[/tex] ...equation (iii)
Plugging x = 0.018 m in equation (ii).
⇒ [tex]x=v_it+\frac{at^2}{2}[/tex]
⇒ [tex]0.018=0+\frac{(at)(t)}{2}[/tex] ...breaking at^2 as (at)(t)
⇒ [tex]0.018=\frac{(at)(t)}{2}[/tex]
⇒ [tex]0.018=\frac{0.3\times (t)}{2}[/tex] ...plugging at=0.3 from equation (iii)
⇒ [tex]0.018\times 2=\frac{0.3\times (t)}{2}\times 2[/tex]
⇒ [tex]0.036=0.3\times (t)[/tex]
⇒ [tex]\frac{0.036}{0.3} =\frac{0.3\times t}{0.3}[/tex]
⇒ [tex]0.12\ s = t[/tex]
The acceleration will take for 0.12 seconds.
