Rain is falling vertically with a speed of 30 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let $v_r$ be the velocity of the rain falling vertically downwards,$v_r = 30\; m/s$.Let $v_c$ be the velocity of the cyclist moving from north to

Vedclass · Accepted Answer

$	heta=	an ^{-1}\left(\frac{1}{3}ight)$

Vedclass · Answer

(B) Let $v_r$ be the velocity of the rain falling vertically downwards,$v_r = 30\; m/s$.Let $v_c$ be the velocity of the cyclist moving from north to south,$v_c = 10\; m/s$.The relative velocity of the rain with respect to the woman is given by $\vec{v}_{rw} = \vec{v}_r - \vec{v}_c$.To protect herself from the rain,the woman must hold her umbrella in the direction of the relative velocity $\vec{v}_{rw}$.The angle $	heta$ that the relative velocity vector makes with the vertical is given by:$	an 	heta = \frac{|\vec{v}_c|}{|\vec{v}_r|} = \frac{10}{30} = \frac{1}{3}$.Therefore,$	heta = 	an^{-1}\left(\frac{1}{3}ight)$.The woman should hold her umbrella at an angle of $	an^{-1}\left(\frac{1}{3}ight)$ with the vertical towards the south.

Rain is falling vertically with a speed of $30\; m/s$. $A$ woman rides a bicycle with a speed of $10\; m/s$ in the north to south direction. What is the direction in which she should hold her umbrella?

Similar Questions

$A$ train of $150 \ m$ length is going towards the north direction at a speed of $10 \ m/s$. $A$ parrot flies at a speed of $5 \ m/s$ towards the south direction parallel to the railway track. The time taken by the parrot to cross the train is........$s$.

$A$ boat covers a certain distance between two spots in a river taking $t_1$ hours going downstream and $t_2$ hours going upstream. What time will be taken by the boat to cover the same distance in still water?

Ship $A$ is moving westwards with a speed of $20 \ km h^{-1}$ and another ship $B$ which is at $200 \ km$ south of $A$ is moving northwards with a speed of $10 \ km h^{-1}$. The time after which the distance between them is shortest and the shortest distance between them are respectively

$A$ man standing on a road holds his umbrella at $30^\circ$ with the vertical to keep the rain away. He throws the umbrella and starts running at $10 \ km/hr$. He finds that raindrops are hitting his head vertically. The speed of raindrops with respect to the road will be ......... $km/hr$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module