Rain appears to fall vertically to a man when he is stationary but when he starts moving at speed of 10km/h the rain drops appears to strike him at an angle of 45degree from the vertical then determine the actual velocity of the rain drops
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Explanation:
Initial velocity of the man, me = 4 m/s Final velocity of the man, m'e = 8 m/s
m'm = m'e - me = 8 - 4 = 4 m/s
tan 45 = rm/m'm
rm = (m'm) tan 45 = 1 =
re = v(rm)^2 + (me)^2 = 4 v2 m/s =
e = tan^-1 (me / rm) = tan^-1 (1)
e = 45° degree
Hence the speed of the raindrop is 4 v2 m/s and the angle is 45°.
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