Home
Class 12
PHYSICS
A particle is moving in xy-plane .At cer...

A particle is moving in xy-plane .At certain instant the components of its velocity and acceleration are as follows `u_(x) = 3m//s,u_(y)=4m//s,a_(x)=2m//s^(2)"and"a_(y)=1m//^(2).` The rate of change of speed at this moment is
`(a) 4.m//s^(2)`
`(b) 2,m//s^(2)`
`(c) sqrt3.m//s^(2)`
`(d) sqrt5 .m//s^(2)`

A

`sqrt(10) m//s^(2)`

B

`4 m//s^(2)`

C

`10 m//s^(2)`

D

`2 m//s^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A particle is moving on a straight line with constant retardation of 1 m//s^(2) . Its initial velocity is 10 m//s .

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 is moving with initial velocity 1m/s and acceleration a=(4t+3)m/s^(2) . Find velocity of particle at t=2sec .

A particle moves in xy-plane from position (2m, 4m) to (6m,8m) is 2s. Magnitude and direction of average velocity is

A particle moves in xy-plane from position (1m,2m) to (3m,4m) in 2s. Find the magnitude and direction of average velocity.

A particle goes from A to B s with uniform acceleration. Its velocity at A and B are 5 m/s and 25 m/s. Its acceleration (in m//s^(2) ) is

For the two blocks initially at rest as shown, under constant external forces their acceleration are, a_(1)=5m//s^(2)rarr,a_(2)=2m//s^(2)larr . Which of the following is correct ?

Match the following A particle is projected with initial speed u-25/3 m/s as shown, here acceleration vector is given as a_(x)= 2t hat(i) m//s^(2), a_(y) = -10hat(j) m//s^(2)

A particle moves along a parabolic path y=-9x^(2) in such a way that the x component of velocity remains constant and has a value 1/3m//s . Find the instantaneous acceleration of the projectile (in m//s^(2) )

Velocity and acceleration of a particle are v=(2 hati-4 hatj) m/s and a=(-2 hati+4 hatj) m/s^2 Which type of motion is this?

ALLEN-KINEMATICS-2D-Exercise (O-2)
  1. A particle is moving in xy-plane .At certain instant the components of...

    Text Solution

    |

  2. A particle leaves the origin with an lintial veloity vec u = (3 hat i...

    Text Solution

    |

  3. The position vector of a particle is determined by the expression vec ...

    Text Solution

    |

  4. A particle moves in x-y plane according to the law x = 4 sin 6t and y ...

    Text Solution

    |

  5. A particle moves in the x-y plane. It x and y coordinates vary with ti...

    Text Solution

    |

  6. Particle is dropped form the height of 20m from horizontal ground. The...

    Text Solution

    |

  7. A particle is fired with velocity u making angle theta with the horizo...

    Text Solution

    |

  8. A particle is projected at an angle of 45^(@) from a point lying 2 m f...

    Text Solution

    |

  9. A ball was thrown by a boy a at angle 60^(@) with horizontal at height...

    Text Solution

    |

  10. A light body is projected with a velocity (10hat(i)+20 hat(j)+20 hat(k...

    Text Solution

    |

  11. A projectile is projected as shown in figure. A proper light arrangeme...

    Text Solution

    |

  12. A particle is ejected from the tube at A with a velocity V at an angle...

    Text Solution

    |

  13. A stone is projected from point P on the inclined plane with velocity ...

    Text Solution

    |

  14. Time taken by the particle to reach from A to B is t. Then the distanc...

    Text Solution

    |

  15. A particle is projected from a point P (2,0,0)m with a velocity 10(m)/...

    Text Solution

    |

  16. A body A is thrown vertically upwards with such a velocity that it rea...

    Text Solution

    |

  17. An object moves to the East across a frictionless surface with constan...

    Text Solution

    |

  18. A particle is thrown from a stationary platform with velocity v at an ...

    Text Solution

    |

  19. On a particular day rain drops are falling vertically at a speed of 5 ...

    Text Solution

    |

  20. A 2-m wide truck is moving with a uniform speed v(0)=8 ms^(-1) along a...

    Text Solution

    |