A man is moving towards north on horizontal
ground at a speed of 5 km/hr and the rain appears
to him vertical. If he makes his velocity 8 km/hr the
rain appears to be making angle 30º with the
vertical. The actual speed of the rain is
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Answer:PHYSICS
A man running on a horizontal road at 8 km/h finds the rain falling vertically. He increases his speed to 12 km/h and finds that the drops make angle 30
o
with the vertical. Find the speed and direction of the rain with respect to the road.
December 27, 2019avatar
Anil Shinde
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ANSWER
This shows that the horizontal component of rain =8 km/hr as the relative velocity of the rain has only a vertical component with respect the man.
V
x
=8 km/hr
2
nd
case →
V
RM
=
V
R
−
V
M
=(8↑−V
y
↑)−12↑=−4↑−V
y
↑
tan30
o
=
V
y
4
⇒
3
1
=
V
y
4
V
y
=4
3
km/hr
⇒∣V∣=4
7
km/hr
Velocity of Rain =8 km/hr↑−4
3
km/hr↑
⇒tanα=
3
2
from vertical.
solution
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