Question

Snow is falling vertically at a constant speed of $3m/s$. At what angle from the vertical do the snowflakes appear to be falling as viewed by the driver of a car traveling on a straight level road with a speed of $60km/h$? (in degrees)

• A. $80$
  
• B. $90$
  
• C. $100$
  
• D. $110$
  

Answer 1

The correct option is A $80$

Actual speed of snowfall=$-3\overrightarrow{j}$ $m/s$

Actual speed of car=$16.67\overrightarrow{i}$ $m/s$

Relative speed of snowfall w.r.t car =$-3\overrightarrow{j}-16.67\overrightarrow{i}$ $m/s$

So, angle from the vertical as viewed by the driver =$\arctan \frac{-16.67}{-3}={80}^o$

Hence,correct answer is option $A$