Question

The rain appears to fall vertically with a speed of 3 m/s relative to a man standing on ground. Find the velocity of rain relative to the man when he moves towards east with a speed of 2 m/s (Take XY plane on ground)

Answer 1

Let OP=3

i

^

be the velocity of man.

OQ

be the velocity of rain

PQ is the velocity of rain relative to man.

Case II:

OR

=6

i

^

is the new velocity of man.

RQ

= new velocity of rain relative to man OP=PR=PQ=3

Now OQ

2

=OP

2

+PQ

2

i.e, OQ

2

=3

2

+3

2

i.e, OQ=3

2

km h

−1

and tanθ=

OP

PQ

=

3

3

=1 i.e. θ=45

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