Rain is falling vertically, with a
speed of 35 ms^-1.wind starts blowing after sometime with a speed of 12 ms^-1 in east to west direction . in whivh direction should a biy waiting at a bus stop hold his umbrella?
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Explanation:
Let the vertical axis be +y-axis and East direction be +x-axis.
Therefore,
Speed of the rain relative to wind = 35m/s (-j)
Speed of wind = 12(-i)
Actual speed of rain = 12(-i) + 35(-j)
Let the angle made by rain be Ø with respect to x-axis(East direction).
Tan Ø = 35/12
Ø = Tan inverse 35/12
Therefore, he should hold the umbrella at an angle of Tan inverse 35/12 above the east direction.
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