Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  JEEMAIN and AIPMT  >>  Physics  >>  Class11  >>  Motion in a Plane
+1 vote

A boy is riding a cycle with a speed of $5\sqrt3$m/s towards east along a straight line.It starts raining with a speed of 15m/s in the vertical direction.What is the direction of rainfall as seen by the boy.

$\begin{array}{1 1}30^{\large\circ}\\20^{\large\circ}\\10^{\large\circ}\\50^{\large\circ}\end{array} $

Can you answer this question?

1 Answer

0 votes
Answer : $30^{\large\circ}$
Let us denote Earth, boy and rain with symbols A, B and C respectively. The question here provides the velocity of B and C with respect to A (Earth).
We need to determine the direction of rain (C) with respect to boy (B)
For the boy(B),the rain appears to fall,making an angle $"\theta"$ with the vertical (-y direction).
$\Rightarrow \tan\theta=\large\frac{V_{BA}}{V_{CA}}$
$\Rightarrow \large\frac{5\sqrt 3}{15}$
$\Rightarrow \large\frac{1}{\sqrt 3}$
$\Rightarrow \tan\theta=\tan 30^{\large\circ}$
answered Aug 13, 2014 by sreemathi.v

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App