Q1P - Fundamentals Of Physics

Question

Question: While driving a car at 90 km/hr , how far do you move while your eyes shut for  during a hard sneeze?

Step-by-Step Solution

Answer

Answer

The distance covered while eyes shut for 0.5 s  during a hard sneeze is 13 m .

Step 1: Given data

The velocity of the car,  v= 90 km/hr. 

Time interval,  $∆t=0.50s$.

Step 2: Understanding the velocity

The velocity of any object is the rate of change of displacement with time. It is a vector quantity.

The expression for the velocity is as follows:

       $v=\frac{∆x}{∆t}$                                                                                                                           (i)

Here,  $∆x$ is the displacement, and $∆t$  is the time interval. 

Step 3: Determination of the distance traveled

Converting speed from km/hr   to  m/s,

 .$$\begin{gathered} v=\frac{90km}{h}\times \frac{1000m}{km}\times \frac{1hr}{3600 s} \\ = 25 m/s \end{gathered}$$

From equation (i), the distance traveled is calculated as follows:

  $$\begin{gathered} ∆x=v\times ∆t \\ =25 m/s\times 0.5 s \\ =12.5 m \end{gathered}$$

Rounding to correct significant figures,

 $∆x\approx 13 m$

Thus, the distance traveled while the eyes are shut will be 13 m.