Physics, asked by soumyaojha36, 4 months ago

7. To a man moving eastward with a speed of 3 km/h
rain appears to fall vertically downward with a speet
of 4 km/h. Find the actual speed and direction of
rain.

Answers

Answered by divyanshu39822
0

Explanation:

Let

i

^

and

j

^

be unit vector in horizontal and vertical respectively.

Let, velocity of rain, v

r

=a

i

^

+b

j

^

Speed of the rain

a

2

+b

2

Case-I

When relative velocity of rain with respect to man is vertical.

V

rms

=

V

r

V

m

V

m

=3

i

^

V

rms

=(a−3)

i

^

+b

j

^

Since, V

rms

is vertical

a−3=0⇒a=3

Case II

When relative velocity is at 30°

V

m

=6

i

^

V

rms

=(a−6)

i

^

+b

j

^

=3

i

^

+b

j

^

Since, tanθ=

−3

b

tan30°=

−3

b

b=

3

1

×(−3)

b=−

3

∣b∣=

3

The therefore, speed:-

=

3

2

+(

3

)

2

=

(9+3)

=

12

=

4×3

=2

3

Answered By

Divyanshu

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