When you sneeze, the air in your lungs accelerates from rest to 120 km/h in approximately 0.70 s. What is the acceleration of the air in m/s²?

• A. 33.33 m/s²
• B. 60.00 m/s²
• C. 24.00 m/s²
• D. 47.62 m/s²

Answer: (D)

Verified step by step guidance

1. First, convert the final velocity from km/h to m/s. Since 1 km/h is equal to 1/3.6 m/s, multiply 120 km/h by 1/3.6 to get the velocity in m/s.
2. Identify the initial velocity (u) of the air, which is 0 m/s since it starts from rest.
3. Identify the time (t) over which the acceleration occurs, which is given as 0.70 seconds.
4. Use the formula for acceleration (a), which is a = (v - u) / t, where v is the final velocity, u is the initial velocity, and t is the time.
5. Substitute the values into the formula: a = (final velocity in m/s - 0 m/s) / 0.70 s to find the acceleration in m/s².