Home
Class 12
PHYSICS
A particle is moving in the x-y plane. A...

A particle is moving in the x-y plane. At certain instant of time, the components of its velocity and acceleration are as follows: `v_(x)=3ms^(-1), v_(y)=4ms^(-1), a_(x)=2ms^(-2) and a_(y)=1ms^(-2)`. The rate of change of speed at this moment is

A

`sqrt10 m//s^(2)`

B

`4m//s ^(2)`

C

`sqrt5 m//s ^(2)`

D

`2m//s ^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE & PLANE

    VMC MODULES ENGLISH|Exercise EFFICIENT|50 Videos

  • MOTION IN A STRAIGHT LINE & PLANE

    VMC MODULES ENGLISH|Exercise IMPECCABLE|52 Videos

  • MOTION IN A STRAIGHT LINE & PLANE

    VMC MODULES ENGLISH|Exercise IMPECCABLE|52 Videos

  • MOCK TEST 9

    VMC MODULES ENGLISH|Exercise PHYSICS (SECTION 2)|5 Videos

  • Motion in Straight Line

    VMC MODULES ENGLISH|Exercise IN-CHAPTER EXERCISE-J|10 Videos

Similar Questions

Explore conceptually related problems

A particle is moving in x-y plane with y=x/2 and V_(x)=4-2t . The displacement versus time graph of the particle would be

Path of a particle moving in x-y plane is y=3x+4 . At some instant suppose x - component of velocity is 1m//s and it is increasing at a constant rate of 1m//s^(2) . Then at this instant.

A particle moves in XY plane such that its position, velocity and acceleration are given by vec(r)=xhat(i)+yhat(j), " "vec(v)=v_(x)hat(i)+v_(y)hat(j), " "vec(a)=a_(x)hat(i)+a_(y)hat(j) Which of the following condition is correct if the particle is speeding down? A. xv_(x)+yv_(y) lt 0 B. xv_(x)+yv_(y) gt 0 C. a_(x)v_(x)+a_(y)v_(y) lt 0 D. a_(x)v_(x)+a_(y)v_(y) gt 0

The three block shown in fig. move with constant velocities. Find the velocity of blocks A and B. given V_(P2)=10ms^(-1) darr, V_(C)=2ms^(-1) uarr .

The coordinates of a particle moving in XY-plane at any instant of time t are x=4t^(2),y=3t^(2) . The speed of the particle at that instant is

Two billiard balls are rolling on a flat table . One has the velocity component V_(x) = 1 ms^(-1) , V_(y) = sqrt(3) m^(-1) and the other has components V_(x) = 2 ms^(-1) and V_(y)=2 ms^(-1) .If both the balls start moving from the same point , what is the angle between their paths ?

Particle A is moving along X-axis. At time t = 0, it has velocity of 10 ms^(-1) and acceleration -4ms^(-2) . Particle B has velocity of 20 ms^(-1) and acceleration -2 ms^(-2) . Initially both the particles are at origion. At time t = 2 distance between the particles are at origin. At time t = 2 s distance between the particles is

A particle is moving on a circular path of 10 m radius. At any instant of time, its speed is 5ms^(-1) and the speed is increasing at a rate of 2ms^(-2) . At this instant, the magnitude of the net acceleration will be

A particle moves along a parabolic parth y = 9x^(2) in such a way that the x-component of velocity remains constant and has a value 1/3 ms ^(-1) . The acceleration of the particle is -

Two particles of equal mass have coordinates (2m,4m,6m) and (6m,2m,8m). Of these one particle has a velocity v_(1) = (2i)ms^(-1) and another particle has a velocity v_(2) = (2j)ms^(-1) at time t=0. The coordinate of their center of mass at time t=1s will be

VMC MODULES ENGLISH-MOTION IN A STRAIGHT LINE & PLANE -ENABLE
  1. A large number of bullets are fired in all directions with same speed ...

    Text Solution

    |

  2. Two particles A and B connected by a rigid rod AB. The rod slides alon...

    Text Solution

    |

  3. A particle is moving in the x-y plane. At certain instant of time, the...

    Text Solution

    |

  4. Four persons K, L, M, N are initially at the four corners of a square ...

    Text Solution

    |

  5. The vertical height of the projectile at the time is given by y=4t-t^(...

    Text Solution

    |

  6. A balloon is going upwards with velocity 12 m//sec it releases a packe...

    Text Solution

    |

  7. The distance moved by a freely falling body (starting from rest) durin...

    Text Solution

    |

  8. A freely falling body takes t second to travel (1//x)^(th) distance th...

    Text Solution

    |

  9. A body is projected with a velocity 60 ms ^(-1) at 30^(@) to horizont...

    Text Solution

    |

  10. A body is projected down from height of 60 m with a velocity 10 ms ^(-...

    Text Solution

    |

  11. A body is projected with velocity u such that in horizontal range and ...

    Text Solution

    |

  12. A stone is projected from the ground with a velocity of 14 ms ^(-1). O...

    Text Solution

    |

  13. A particle is projected from a point A vertically upwards with a speed...

    Text Solution

    |

  14. A stone is projected horizontally with a velocity 9.8 ms ^(-1) from a ...

    Text Solution

    |

  15. There are two values of time for which a projectile is at the same hei...

    Text Solution

    |

  16. A projectile is thrown with a velocity vec v (0) = 3hati + 4 hatj ms ^...

    Text Solution

    |

  17. A body projected horizontally with a velocityv from a height h has a r...

    Text Solution

    |

  18. A body is thrown horizontally from the top of a tower and strikes the ...

    Text Solution

    |

  19. For a given velocity, a projectile has the same range R for two angles...

    Text Solution

    |

  20. At a metro station, a girl walks up a stationary escalator in time t1....

    Text Solution

    |