6- when you sneeze, the air in your lungs accelerates from rest to 150 km/h in approximately 0.50 s. what is…

6- when you sneeze, the air in your lungs accelerates from rest to 150 km/h in approximately 0.50 s. what is the magnitude of the acceleration of the air in m/s²?

6- when you sneeze, the air in your lungs accelerates from rest to 150 km/h in approximately 0.50 s. what is the magnitude of the acceleration of the air in m/s²?

Answer

Explanation:

Step1: Convert the final velocity to m/s

First, convert 150 km/h to m/s. We know that 1 km = 1000 m and 1 h=3600 s. So, $v = 150\times\frac{1000}{3600}\text{ m/s}=\frac{150000}{3600}\text{ m/s}\approx41.67\text{ m/s}$. The initial velocity $u = 0\text{ m/s}$ (starts from rest) and time $t = 0.50\text{ s}$.

Step2: Use the acceleration - formula

The formula for acceleration is $a=\frac{v - u}{t}$. Substitute $v = 41.67\text{ m/s}$, $u = 0\text{ m/s}$ and $t = 0.50\text{ s}$ into the formula. Then $a=\frac{41.67 - 0}{0.50}\text{ m/s}^2$. $a = 83.34\text{ m/s}^2$

Answer:

$83.34\text{ m/s}^2$