Example 3.64 To a man walking at the rate of 3 km/h the
rain appears to fall vertically. When he increases his speed to
6 km/h it appears to meet him at an angle of 45° with
vertical. Find the speed of rain.
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When the man is walking at 3km/h , the rain appears to fall vertically. When we say that, we say the rain falls vertically w.r.t the man. So, the rain should have a horizontal component of velocity equal to that of the man, so as to fall vertically w.r.t him, which means it should have a horizontal velocity of 3km/h.
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