CBSE Class 11-science Answered
To a man rumning with a speed of 3 m/s rain appears to fall vertically down with a speed of 4 m/s .what will be the angle of rain as seen by the man if he increases the speed to 6m/s.Use vector method add or subtraction
Asked by Debdulal | 07 Jun, 2019, 11:15: AM
Expert Answer
Let velocity of man be u = 3 i .....................(1)
where i is unit vector in the direction of x-axis.
Let velocity of rain be v = a i + b j .....................(2)
where j is unit vector in the direction of y-axis
if rain appears to fall vertically with velocity 4 m/s, then
relative velocity of rain with respect to man = v - u = (a-3) i + b j = -4j ........................(3)
from eqn.(3), we get a =3 and b = -4 , hence velocity of rain v = ( 3 i - 4 j ) m/s
if man's velocity is changed as u = 6 i m/s, then relative velocity of rain v - u = (3-6) i - 4 j
hence angle = tan-1( -4/-3 ) ≈ 53° with vertical ( in the direction towards man)
Answered by Thiyagarajan K | 07 Jun, 2019, 12:55: PM
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