Home
Class 11
PHYSICS
A car travels due east on a level road f...

A car travels due east on a level road for `30 km`. It then turns due north at an intersection and travels `40 km` before stopping. Find the resultant displacement of the car.

Text Solution

Verified by Experts

The correct Answer is:
`50 km, 53^(@)` north of east

Displacement
`=sqrt((30)^(2)+(40)^(2))=50 km`
`tan alpha=40/30 rArr alpha=53^(@)N` to E
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN |Exercise Exersice-4[B]|14 Videos
  • MISCELLANEOUS

    ALLEN |Exercise EXERCISE-5(A)|15 Videos
  • MISCELLANEOUS

    ALLEN |Exercise DATA SUFFICIENCY QUESTIONS|3 Videos
  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN |Exercise BEGINNER S BOX-7|8 Videos
  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN |Exercise EXERCISE-IV|7 Videos

Similar Questions

Explore conceptually related problems

A cyclist travels 5km in the east direction. Then he travels 12km in the south direction. What is the magnitude of displacement of the cyclist ?

A car travels at a speed of 80 km/h during the first half of its running time and at 40 km/h during the other half. Find the average speed of the car. (60 km/h) ( AS_(7))

A motorboay is racing towards north at 25 km/h and the water current in that region is 10km/h in the direction of 60^(@) east of south . Find the resultant velocity of the boat.

Plane travels 400 m towards north then 300 m towards south and 1200 m vertically upwards, then find resultant displacement ……….

A car leaves Kota for Bundi every 12 minutes The distance between Kota and Bundi is 60Km . The car travels at a speed of 60km//hr . Find the number of cars that a man driving from Bundi Bundi to kota will meet in route if he starts from Bundi simultaneously with one of the cars leaving Kata. The car from Bundi travels at a speed of 60 Km//hr .

Two trains leave a railway station at the same time. The first train travels towards west and the second train towards north. The first train travels 5 km/hr faster than the second train. If after two hours they are 50 km. apart, find the average speed of each train.

According to a FIR in police station, car A was at rest waiting for a red light at a crossing when it was hit by similar car B from rear side. Both cars had then hard brekes on, and from their skid marks it is surmiesed that they skidded together about 8m in the original direction of travel before coming to rest. Assuming a stopping force of about 0.4 times the combined weights of the cars. the speed of car B just before the collision is approximately [g=10 m//s^(2)]

A man drives his car uniformly at 30 km/h for three hour After it he covered next 90 km distance with uniform speed of 45 km/hr. Find the average speed of car.

A motor boat can travel 30 km upstream and 28 km downstream in 7 hours. It can travel 21 km upstream and return in 5 hours. Find the speed of the boat in still water and the speed of the stream.

ALLEN -MISCELLANEOUS-Exercise-04 [A]
  1. The position vector of car w.r.t. its starting point is given as vecr=...

    Text Solution

    |

  2. Answer the following : (i) A vector has magnitude & direction. Does ...

    Text Solution

    |

  3. A room has dimensions 3 m xx 4 m xx5 m. A fly starting at one cronet e...

    Text Solution

    |

  4. Vector vec(a) has components a(x)=3, a(y)=4. Find the components of a ...

    Text Solution

    |

  5. Find: (i) "north cross west" " " (ii) "down dot south" (iii) "we...

    Text Solution

    |

  6. The position vector of a particle of mass m= 6kg is given as vec(r)=[(...

    Text Solution

    |

  7. A plane body has perpendicular axes OX and OY marked on it and is acte...

    Text Solution

    |

  8. State with reasons, whether the following algebraic operations with sc...

    Text Solution

    |

  9. A car travels due east on a level road for 30 km. It then turns due no...

    Text Solution

    |

  10. Write the vector representation of the vectors A and B with respect to...

    Text Solution

    |

  11. Find the kinetic energy of a particle of mass 200 g moving with veloci...

    Text Solution

    |

  12. Acceleration of particle moving in straight line can be written as a=(...

    Text Solution

    |

  13. The position vector of an object moving in X-Z plane is vec(r)=v(0)tha...

    Text Solution

    |

  14. The position of a particle at time t is given by the relation x(t)=((V...

    Text Solution

    |

  15. The related equations are : Q=mc(T(2)-T(1)), l(1)=l(0)[1+alpha(T(2)-T(...

    Text Solution

    |

  16. A particle of mass m is in a uni-directional potential field where the...

    Text Solution

    |

  17. Assume that the largest stone of mass 'm' that can be moved by a flowi...

    Text Solution

    |

  18. A projectile fired at an angle of 45^(@) travels a total distance R, c...

    Text Solution

    |

  19. In the formula P=(nRT)/(V-b)e^(-a/(RTV)). Find the dimensions of a and...

    Text Solution

    |

  20. If instead of mass, length and time as fundamental quantities we choos...

    Text Solution

    |