Snow is falling vertically at a constant speed of 8.0m/s. At what angle from the vertical do the snowflakes appear to be falling as viewed by the driver of a car traveling on a straight level road with a speed of 8√3m/s?
A
30∘
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B
60∘
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C
75∘
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D
45∘
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Solution
The correct option is B60∘ Given, Speed of snow falling, Vs=8.0m/s Speed of car, Vc=8√3m/s
Let us assume, Vn= velocity of snowflakes, Vn as seen by driver makes θ angle with vertical.
From figure, tan θ=VcVs ⇒tan θ=8√38.0 ⇒tan θ=√3 ⇒θ=60∘ So, snowflakes make an angle of 60∘ with vertical as seen by the driver of car.