Home
Class 11
PHYSICS
A particle whose speed is 50ms^(-1) move...

A particle whose speed is `50ms^(-1)` moves along the line from `A(2,1)` to `B(9,25)`. Find its velocity vector in the from of `ahat(i)+bhat(j)`.

Text Solution

Verified by Experts

The correct Answer is:
25
`vec(V)=50.vec(AB) vec(AB)=(9-2)hat(i)+(25-1)hat(j)`
`50/25(7hat(i)+24hat(j)) |vec(AB)|=sqrt((7)^(2)+(24)^(2))=14hat(i)+48hat(j)=25`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    CENGAGE PHYSICS|Exercise Exercise Single Correct|51 Videos

  • VECTORS

    CENGAGE PHYSICS|Exercise Exercise Multiple Correct|5 Videos

  • VECTORS

    CENGAGE PHYSICS|Exercise Exercise 3.2|13 Videos

  • TRAVELLING WAVES

    CENGAGE PHYSICS|Exercise Integer|9 Videos

  • WORK, POWER & ENERGY

    CENGAGE PHYSICS|Exercise Archives (integer)|4 Videos

Similar Questions

Explore conceptually related problems

A particle travels with speed 50ms^(-1) from the point (3,-7) in a direction 7hat(i)-24(j) . Find its position vector after 3s .

A particle is moving with speed 6m/s along the direction of 2hat(i)+2hat(j)-hat(k) find the velocity vector of a particle ?

A particle is moving with speed 6m//s along the direction of vec(A)=2hat(i)+2hat(j)-hat(k) , then its velocity is :

A particle is moving with speed 6 m//s along the direction of vec(A) =2 hat i+2 hat j- hat k , then its velocity is :

If a particle moves from the point A(1 , 2 , 3) to the point B( 4 , 6 ,9) , its displacement vector be

A particle moves with a constant acceleration a=2ms^-2 along a straight line. If it moves with an initial velocity of 5ms^-1 , then obtain an expression for its instantaneous velocity.

A particle moves along the sides AB,BC,CD of a square of side 25m with a velocity of "15ms^(-1).Its average velocity is

A particle moves in a straight line from A to B with speed v_(1) and then from B to A with speed v_(2) . Find the average velocity and average speed.

A particle moves along the side AB, BC, CD of a square of side 25 m with a velocity of 15ms^(-1) Its average velocity is

A particle is moving at uniform speed 2 ms^(-1) along a circle of radius 0.5m .The centripetal acceleration of particle is

CENGAGE PHYSICS-VECTORS-Exercise Subjective
  1. Unit vector hat(P) and hat(Q) are inclined at an angle theta. Prove th...

    Text Solution

    |

  2. A sail boat sails 2km due east, 5km 37^(@) south of east, and finally ...

    Text Solution

    |

  3. Two forces of magnitudes P and Q are inclined at an angle (theta). The...

    Text Solution

    |

  4. A vector vec(B) which has a magnitude 8.0 is added to a vector vec(A) ...

    Text Solution

    |

  5. Three vector as shown in (figure) have magnitudes |vec(a)|=3,|vec(b)|=...

    Text Solution

    |

  6. A bouy is attached to three tugboats by three ropes. The tugboats are ...

    Text Solution

    |

  7. Two horizontal forces of magnitudes of 10N and P N act on a particle. ...

    Text Solution

    |

  8. The position vectors of two balls are given by vec(r )(1)=2 (m)i+7(m...

    Text Solution

    |

  9. A particle whose speed is 50ms^(-1) moves along the line from A(2,1) t...

    Text Solution

    |

  10. A particle travels with speed 50ms^(-1) from the point (3,-7) in a dir...

    Text Solution

    |

  11. A particle has an initial velocity of 3hat(i) + 4 hat(j) and an accele...

    Text Solution

    |

  12. Forces X,Y and Z have magnitudes 10N 5(sqrt(3)-1) N and 5(sqrt(3)+1) N...

    Text Solution

    |

  13. A particle of m=5kg is momentarily at rest at x= at t=. It is acted up...

    Text Solution

    |

  14. A spy plane is being tacked by a radar. At t=0, its position is report...

    Text Solution

    |

  15. a. Calculate vec(r )=vec(a)-vec(b)+vec(c ), where vec(a)=5hat(i)+4hat(...

    Text Solution

    |

  16. A force vec(F)=3hat(i)+2hat(j)+chat(k)N causes a displacement vec(r )=...

    Text Solution

    |

  17. When two vectors of magnitudes P and Q are inclined at an angle theta,...

    Text Solution

    |

  18. Find the magnitudes of the unknown forces if the sum of all forces is ...

    Text Solution

    |

  19. Three boys are pulling a heavy trolled by means of three ropes. The bo...

    Text Solution

    |

  20. If vec(A)=2hat(i)+hat(j) and vec(B)=hat(i)-hat(j), sketch vector graph...

    Text Solution

    |