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 the velocity of rain be $\vec{v}_r = -30\hat{j}\,ms^{-1}$ and the velocity of the bicycle be $\vec{v}_b = -12\hat{i}\,ms^{-1}$ (since she is m

Vedclass · Accepted Answer

At an angle of $	an^{-1} (\frac {2}{5})$ with the vertical towards the west

Vedclass · Answer

(B) Let the velocity of rain be $\vec{v}_r = -30\hat{j}\,ms^{-1}$ and the velocity of the bicycle be $\vec{v}_b = -12\hat{i}\,ms^{-1}$ (since she is moving from east to west).The relative velocity of rain with respect to the woman is $\vec{v}_{rb} = \vec{v}_r - \vec{v}_b = -30\hat{j} - (-12\hat{i}) = 12\hat{i} - 30\hat{j}\,ms^{-1}$.To protect herself from rain,she must hold the umbrella in the direction of the relative velocity of rain $\vec{v}_{rb}$.The angle $	heta$ with the vertical is given by $	an 	heta = \frac{|v_b|}{|v_r|} = \frac{12}{30} = \frac{2}{5}$.Thus,$	heta = 	an^{-1}(\frac{2}{5})$.Since the relative velocity vector has a positive $x$-component (eastward relative to the woman) and a negative $y$-component (downward),the rain appears to come from the east. Therefore,she must tilt her umbrella towards the west to block the rain.

Rain is falling vertically with a speed of $30\,ms^{-1}$. $A$ woman rides a bicycle with a speed of $12\,ms^{-1}$ in the east to west direction. She should hold her umbrella:

Similar Questions

$A$ boat takes $2 \, h$ to travel $8 \, km$ and back in still water. If the velocity of water is $4 \, km/h$,the time taken for going upstream $8 \, km$ and coming back is:

The figure shows two ships moving in the $x-y$ plane with velocities $V_A$ and $V_B$. The ships move such that $B$ always remains north of $A$. The ratio $\frac{V_A}{V_B}$ is equal to ........

The width of the river is $1 \; km$. The velocity of the boat is $5 \; km/hr$. The boat covers the width of the river along the shortest possible path in $15 \; min$. The velocity of the river stream is:

When a train is at rest,rain drops fall vertically. When it moves along east with a velocity equal to that of rain,the rain will appear to fall,for a passenger in the train

What do you mean by the term relative velocity?

Vedclass Test Series

Exam Paper Generator

Online Exam Module