Home
Class 12
PHYSICS
A boat is moving with a velocity 3 hat i...

A boat is moving with a velocity `3 hat i+ 4hat j` with respect to ground. The water in the river is moving with a velocity `-3 hat i - 4 hat j` with respect to ground. The relative velocity of the boat with respect to water is.

A

`8 hatj`

B

`5sqrt(2)` km/min towards North-West

C

`6hati+8hatj`

D

`-6hati-8hatj`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PALNE

    ALLEN|Exercise EXERCISE-3|41 Videos

  • MOTION IN A PALNE

    ALLEN|Exercise SOLVED EXAMPLE|28 Videos

  • MOTION IN A PALNE

    ALLEN|Exercise EXERCISE-1|99 Videos

  • KINEMATICS-2D

    ALLEN|Exercise Exercise (O-2)|48 Videos

  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN|Exercise EXERCISE (JA)|4 Videos

Similar Questions

Explore conceptually related problems

A boat is moving with a velocity (3hati +hatj) with respect to ground. The water in the river is moving with a velocity -3hati - 4hatj with respect to ground. What is the relative velocity of boat with respect to river ?

A boat is moving with a velocity 2i + 3j with respect to ground. The water in the river is moving with a velocity -2i - 3j with respect to ground. The relative velocity of the boat with respect to water is

A boat stems in a river with velocity 2hati + hatj with respecitve to the ground. The river water flows with a velocity -3hati - 4hatj with respect to the ground. What is the relative velocity of boat w.r.t river water ?

A plane mirror is moving with velocity 4 (hat i) + 5 (hat j) + 8 (hat k) . A point object in front of the mirror moves with a velocity 3 (hat i) + 4 (hat j) + 5 (hat k) . Here, hat k is along the normal to the plane mirror and facing towards the object. The velocity of the image is

Rain is falling with a velocity (-4hat(i)+8hat(j)-10hat(k)) . A person is moving with a velocity of (6hat(i)+8hat(j)) on the ground. Find the velocity of rain with respect to man and the direction from which the rain appears to be coming.

A plane mirror is moving with velocity 4 hat(i) + 5 hat(j) + 8 hat(k) . A point object in front of the mirror moves with a velocity 3 hat(i) + 4 hat(j) + 5 hat(k) . Here hat(k) is along the normal to the plane mirror and facing towards the object. The velocity fo the image is

Rain is falling with a velocity (-4hat(i)+8hat(j)-10hat(k)) . A person is moving with a velocity of (6hat(i)+8hat(j)) on the ground. The velocity of man w.r.t. rain is :

In the figure shown the velocity of A with respect to ground is (20hat(i) + 15hat(j)) m//s , then what will be the magnitude of velocity of the wedge 'B' with respect to ground frame. (A remains in contact with B)

The position vector of point C with respect to B is hat i+hat j and that of B with the respect to A is hat i-hat j .The position vector of C with respect to A is

ALLEN-MOTION IN A PALNE-EXERCISE-2
  1. A river is flowing from east to west at a speed of 5m//min. A man on s...

    Text Solution

    |

  2. Two trains, each 50 m long, are travelling in opposite directions with...

    Text Solution

    |

  3. A boat is moving with a velocity 3 hat i+ 4hat j with respect to groun...

    Text Solution

    |

  4. Two cars are moving in the same direction with the same speed 30 km//h...

    Text Solution

    |

  5. A stone is thrown upwards and it rises to a height 0f 200m. The relati...

    Text Solution

    |

  6. A bus starts moving with acceleration 2 ms^-2. A cyclist 96 m behind t...

    Text Solution

    |

  7. A body X is projected upwards with a velocity of 98 ms^(-1), after 4s,...

    Text Solution

    |

  8. A bird is flying towards south with a velocity 40km/hr and a train is ...

    Text Solution

    |

  9. A train moves in north direction with a speed of 54 km/hr. and a monke...

    Text Solution

    |

  10. Two trains each of length 50m. are running with constant speeds on pa...

    Text Solution

    |

  11. A bird is flying with a speed of 40 km/hr. in the north direction. A t...

    Text Solution

    |

  12. A man is walking on a road with a velocity 3kmhr. Suddenly rain starts...

    Text Solution

    |

  13. A boy is runing on the plane road with velocity v with a long hollow t...

    Text Solution

    |

  14. A man standing on a road has to hold his umbrella at 30^(@) with the ...

    Text Solution

    |

  15. A boat takes 2 hours to travel 8 km and back in still water lake.With ...

    Text Solution

    |

  16. A river is flowing at the rate of 6 km/hr. A swimmer swims across with...

    Text Solution

    |

  17. A man wishes to swim across a river 0.5km. wide if he can swim at the...

    Text Solution

    |

  18. A boat man can row with a speed of 10 km/hr. in still water. The river...

    Text Solution

    |

  19. A boat covers certain distance between two spots on a river taking 't(...

    Text Solution

    |

  20. An iron ball and a wooden ball of the same radius are released from a ...

    Text Solution

    |