Home
Class 11
PHYSICS
A particle has an initial velocity of 3h...

A particle has an initial velocity of `3hat(i) + 4 hat(j)` and an acceleration of `0.4 hat(i) + 0.3 hat(j)`. Its speed after `10s ` is :

Text Solution

Verified by Experts

The correct Answer is:
Hence `P:Q:R= sqrt(2):sqrt(3):sqrt(2)`
`vec(V)=vec(v)+vec(a).t=3hat(i)+4hat(j)+10(0.4hat(i)+0.3hat(j))`
`= 3hat(i)+4hat(j)+4hat(i)+0.3hat(j)= 7hat(i)+7hat(j)`
`:. |vec(v)|=sqrt((7)^(2)-(7)^(2))=7sqrt(2)ms^(-1)`
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 has initial velocity (3 hat i+ 4 hat j) and has acceleration (0.1 hat i+ 0.3 hat j) . Its speed after 10 s is.

A particle has initial velocity of (3hat(i)+4hat(j)) m//s and a acceleration of (4hat(i)-3hat(j)) m//s^(2) . Its speed after one second will be equal to :-

A particle has an initial velocity of 4hat(i)+4hat(j) m//s and an acceleration of -0.4 hat(i) m//s^(2) at what time will its speed be 5 m//s?

A particle has an initial velocity (2 hat(i) + 3 hat(j)) and an accelaration (0.3 hat(i) + 0.2 hat(j)) . The magnitude of velocity after 10 s will be

A particle has initial velocity of 2hat(i) and has constant acceleration of 3hat(j) . Find its displacement and velocity after 3s. If initially, the particle is located at 3hat(i) +4hat(j) , find its final location.

A particle has initial velocity vec(v)=3hat(i)+4hat(j) and a constant force vec(F)=4hat(i)-3hat(j) acts on the particle. The path of the particle is :

A particle is moving in x-y plane. At an instant, it has velocity (4 hat (i) + 4 hat(j)) m//s and acceleration (3 hat(i) + 5 hat(j)) m//s^(2) At that instant, the radius of curvature of its path will be :

A projectile is given an initial velocity of ( hat(i) + 2 hat (j) ) m//s , where hat(i) is along the ground and hat (j) is along the vertical . If g = 10 m//s^(2) , the equation of its trajectory is :

A particle moves from a point (-2hat(i) + 5hat(j)) " to" " " (4hat(j) + 3hat(k)) when a force of (4hat(i)+ 3hat(j)) N is force?

Two particles having position vectors vec(r )_(1) = ( 3 hat(i) + 5 hat(j)) meters and vec( r)_(2) = (- 5 hat(i) - 3 hat(j)) metres are moving with velocities vec(v)_(1) = ( 4 hat(i) + 3 hat(j)) m//s and vec(v)_(2) = (alpha hat(i) + 7 hat(j)) m//s . If they collide after 2 s , the value of alpha 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

    |