Home
Class 11
PHYSICS
The x and y co-ordinates of a partilce a...

The x and y co-ordinates of a partilce at any time t are given by:
`x=7t+4t^(2)` and `y=5t`
The acceleration of the particle at 5s is:

A

zero

B

`8m//s^(2)`

C

`20m//s^(2)`

D

`40m//s^(2)`

Text Solution

Verified by Experts

The correct Answer is:
b
`(d^(2)x)/(dt^(2))=8, (d^(2)y)/(dt^(@))=0` Hence `a=8m//s^(2)`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE

    GRB PUBLICATION|Exercise Comprehension type Queston|14 Videos

  • UNITS AND DIMENSIONS

    GRB PUBLICATION|Exercise Link Compression|6 Videos

Similar Questions

Explore conceptually related problems

The x and y coordinates of a particle at any time t are given by x=7t+4t^2 and y=5t , where x and t is seconds. The acceleration of particle at t=5 s is

The co-ordinates of a moving particle at any time t are given by x=ct^(2) and y=bt^(2) The speed of the particle is

The coordinates of a moving particle at any time t are given by, x = 2t^(3) and y = 3t^(3) . Acceleration of the particle is given by

The co-ordinates of a moving particle at any time t are given by x = ct^(2) and y = bt^(2) ~? The speed of the particle is given by:

The coordinates of a moving particle at any time t are given by x = ct and y = bt. The speed of the particle at time t is given by

The x and y coordinates of a particle at any time t are given by x = 2t + 4t^2 and y = 5t , where x and y are in metre and t in second. The acceleration of the particle at t = 5 s is

The co-ordinates of a moving particle at anytime 't' are given by x = alpha t^(3) and y = beta t^(3) . The speed of the particle at time 't' is given by

The coordinates of a moving particle at any time t are given by x = alpha t^(3) and y = beta t^(3) . The speed of the particle at time t is given by

If x = 5t + 3t^(2) and y = 4t are the x and y co-ordinates of a particle at any time t second where x and y are in metre, then the acceleration of the particle

GRB PUBLICATION-MOTION IN TWO AND THREE DIMENSIONS-All Questions
  1. Two particles are projected simu ltaneously from points A and B respec...

    Text Solution

    |

  2. A particle moves in x-y plane according to ru le x=a sin omegat and y=...

    Text Solution

    |

  3. The x and y co-ordinates of a partilce at any time t are given by: x...

    Text Solution

    |

  4. The height y and distance x along the horizontal plane of a projectile...

    Text Solution

    |

  5. An object is projected so that it just clears two walls of height 7.5 ...

    Text Solution

    |

  6. A body mass 2kg has an initial velocity of 3 metre//sec along OE and i...

    Text Solution

    |

  7. If a force is applied at an angle to a body moving along a straight li...

    Text Solution

    |

  8. A particle moves along the positive branch of the curve y = (x^(2))/(2...

    Text Solution

    |

  9. A bu llet is fired with a gun from a tower horizontally with a velocit...

    Text Solution

    |

  10. Two bu llets are fired simu ltaneously, from the same level and in the...

    Text Solution

    |

  11. A particle moves along the parabolic path y=ax^(2) in such a The accle...

    Text Solution

    |

  12. A ball is thrown upwards and returns to the ground describing a parabo...

    Text Solution

    |

  13. If a body A of mass M is thrown with velocity V at an angle of 30^(@) ...

    Text Solution

    |

  14. It was calculated that a shell when fired from a gun with a certain ve...

    Text Solution

    |

  15. A ball of mass m is thrown vertically upwards. Another ball of same ma...

    Text Solution

    |

  16. A particle is projected at an angle of 45^(@) with a velocity of 9.8 m...

    Text Solution

    |

  17. The range of a projectile launched at an angle of 15^(@) with horizont...

    Text Solution

    |

  18. An object is thrown along a direction inclined at an angle of 45^(@) w...

    Text Solution

    |

  19. At what angle to the horizontal should an object be projected so that ...

    Text Solution

    |

  20. a projectile is fired from the surface of the earth with a velocity of...

    Text Solution

    |