Home
Class 11
PHYSICS
A particle moves according to the law x ...

A particle moves according to the law `x = a cospi t` . The distance covered by it in 2.5 second is

A

3a

B

5a

C

2a

D

9a

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MECHANICS

    PATHFINDER|Exercise QUESTION BANK|141 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    PATHFINDER|Exercise QUESTION BANK|30 Videos

Similar Questions

Explore conceptually related problems

A particle moves according to the law s=t^(3)-9t^(2)+24t . The distance covered by the particle before it first comes to rest is -

A car starts from a point P at time t = 0 seconds and stops at point Q. The distance x, in metres, covered by it, in t seconds is given by x=t^(2) (2-(t)/(3)) Find the time taken by it to reach Q and also find distance between P and Q.

A particle moves with uniform acceleration and the distance travelled in t - th second is s_(t) = 3 + 2t . Find the initial velocity of the particle .

A particle moves along a circular path of radius 7 cm. Estimate the distance covered and displacement when the particle (i) covers half circular path and (ii) completes the total circular path once.

The displacement of a particle in S.H.M. varies according to the relation x= 4 (cos pi t +sin pi t ) . The amplitude of the particle is

A particle moves along a straight line according to the law s=t^3/3 -3t^2+9t+17 , where s is in meters and t in second. Velocity decreases when

A particle starts from the origin and moves along a straight line. If the velocity of the particle at time t seconds be 10t cm/s, find the distance traversed during first 4 seconds after the start.

PATHFINDER-SIMPLE HARMONIC MOTION-QUESTION BANK
  1. A particle starts oscillating simple harmonically from the equilibrium...

    Text Solution

    |

  2. For a particle executing S.H.M. the kinetic energy K is given K = K0 c...

    Text Solution

    |

  3. A particle moves according to the law x = a cospi t . The distance cov...

    Text Solution

    |

  4. A body A of mass m moving with velocity v while passing through its me...

    Text Solution

    |

  5. A particle of mass m is subjected to a force vec F = F0 [ cos(t)hati +...

    Text Solution

    |

  6. A simple pendulum is making oscillations with its bob immersed in a li...

    Text Solution

    |

  7. A particle executing SHM with amplitude A. At displacement x = - A/4 ,...

    Text Solution

    |

  8. A particle moves along the x axis according to the equation x = 4 + 3s...

    Text Solution

    |

  9. A simple pendulum of length 1 m with a bob of mass m swings with an an...

    Text Solution

    |

  10. Time period of a spring - block system on surface of earth is T1 and t...

    Text Solution

    |

  11. The displacement of a particle from its mean position is given by the ...

    Text Solution

    |

  12. The total energy of a simple pendulum executing amplitude A is E. when...

    Text Solution

    |

  13. For a particle executing S.H.M. the kinetic energy K as K = K0 cos^2 o...

    Text Solution

    |

  14. A linear harmonic oscillator of force constant 2 xx 10^6 N/m and ampli...

    Text Solution

    |

  15. A bottom loaded stick performs SHM is a liquid of density rho1 with ti...

    Text Solution

    |

  16. The displacement (in cm) of a moving particle at any time t is given b...

    Text Solution

    |

  17. The displacement (in cm) of a moving particle at any time t is given b...

    Text Solution

    |

  18. Two SHM s are represented by y1 = A sin(omega t + theta) and y2 = A/2 ...

    Text Solution

    |

  19. A particle is acted upon simultaneously by two mutually perpendicular ...

    Text Solution

    |

  20. A pendulum is undergoing S.H.M. The velocity of the bob in the mean po...

    Text Solution

    |