Question

please give the answer with correct explanation and no spamming should be there or else your answer will be reported......xD​

Answer 1

SoLuTiOn :

➡ Given:

✏ Rain is falling vertically with a speed of 35 m/s.

✏ A woman rides a bicyclr with a speed of 12 m/s in east to west direction.

➡ To Find:

✏ In which direction she should hold her umbrella ?

➡ Calculation:

✏ In the attachment, $\vec{v_r}$ represents the velocity of rain and $\vec{v_b}$, the velocity of the bicycle, the woman is riding.

✏ To protect herself from rain, the woman should hold her umbrella in the direction of relative velocity of rain with respect to the bicycle $\vec{v_{rb}}$.

✏ From attachment,

$\hookrightarrow \rm \: tan \theta = \frac{v{ \tiny{b}}}{v{ \tiny{r}}} = \frac{12}{35} \\ \\ \hookrightarrow \: \underline{ \boxed{ \bold{ \rm{ \pink{ \theta = {tan}^{ - 1} ( \frac{12}{35} )=19\degree}}}}}$

✏ Therefore, the woman should hold her umbrella at an angle of $19\degree$ with the verticle towards the west.

Answer 2

Answer:

Given:

Rain is falling vertically at a velocity of 35 m/s. The women is travelling at a velocity of 12 m/s from East to west.

To find:

Direction at which the umbrella should be held by the women to protect herself from the rain.

Concept:

Rain is falling down vertically . But as the women is moving , she is observing a relative Velocity of the rain which is falling obliquely as compared to the actual rain fall.

As a result, the women has to hold the umbrella at an angle to the vertical .

Calculation:

First of all , we need to draw the diagram for observing the relative velocity.

Let the angle with the vertical be θ.

So we can say :

$\tan( \theta) = \dfrac{12}{35}$

$= > \theta = { \tan}^{ - 1} ( \dfrac{12}{35} )$

The women has to hold the umbrella at this angle in order to prevent rain from touching her .

So final answer :

$\boxed{ \red{ \huge{ \bold{\theta = { \tan}^{ - 1} ( \dfrac{12}{35} )}}}}$