A car moves with a speed of 60km/h towards east,also a train moves with a speed of 80km/h towards north,in what direction does the train seems to be moving by the driver sitting in his car?
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See diagram for clarity. The speed of the train with respect to the car or, as seen from car is given by
V_train - V_car = vector subtraction.
SO draw - V_car in West and then add. It is the diagonal of the rectangle.
magnitude of the relative velocity = √(60² + 80²) = 100 kmph
Direction = Ф towards West from North.
tan Ф = 60/80 = 3/4 , Ф = 36.87 deg North West..
or 53.13 deg from west towards north.
V_train - V_car = vector subtraction.
SO draw - V_car in West and then add. It is the diagonal of the rectangle.
magnitude of the relative velocity = √(60² + 80²) = 100 kmph
Direction = Ф towards West from North.
tan Ф = 60/80 = 3/4 , Ф = 36.87 deg North West..
or 53.13 deg from west towards north.
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