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To a driver going east in a car with a v...

To a driver going east in a car with a velocity of `40 km h^(-1)`, a bus appears to move towards north with a velocity of `40 sqrt(3)km h^(-1)`. What is the actual velocity and direction of motion of the bus ?

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The correct Answer is:
`80 km h^(-1), 30^(@)` east of north
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Knowledge Check

  • To a person, going eastward in a car with a velociyt of 25km//hr , a train appears to move towards north with a velocity of 25sqrt(3) km//hr . The actual velocity of the train will be

    A
    `25 km//hr`
    B
    `50 km//hr`
    C
    `5 km//hr`
    D
    `5sqrt(3)km//hr`
  • A car is moving towards east with a speed of 25 km h^-1 . To the driver of the car, a bus appears to move towards north with a speed of 25 sqrt(3) km h^-1 . What is the actual velocity of the bus ?

    A
    `50 km h^-1, 30^@ E of N`
    B
    `50 km h^-1, 30^@ N of E`
    C
    `25 km h^-1, 30^@ E of N`
    D
    `25 km h^-1, 30^@ N of E`
  • A car is going east wards with a velocity of 8m/s. To the passengers in the car, a train appears to be moving north wards with a velocity of 15 m/s. What is the actual velocity of the train:

    A
    7 m/s
    B
    17 m/s
    C
    23 m/s
    D
    None of these
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