Home
Class 11
PHYSICS
If the displacement at time 't' is x = a...

If the displacement at time 't' is x = acost, the acceleration is .......

A

` cos t `

B

`-a cos t `

C

`a sin t`

D

`-a sin t`

Text Solution

Verified by Experts

The correct Answer is:
B
`x =a cos t`
`(dx)/(dt) =- a sin t`
`(d ^(2)x)/(dt ^(2)) =- a cos t`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE

    KUMAR PRAKASHAN|Exercise SECTION-F|20 Videos

  • MOTION IN A STRAIGHT LINE

    KUMAR PRAKASHAN|Exercise QUESTION PAPER|11 Videos

  • MOTION IN A STRAIGHT LINE

    KUMAR PRAKASHAN|Exercise SECTION-D|26 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    KUMAR PRAKASHAN|Exercise QUESTION PAPER (SECTION -C)|3 Videos

  • OBJECTIVE QUESTIONS AS PER NEW PAPER STYLE

    KUMAR PRAKASHAN|Exercise CHAPTER - 8 (Match Type questions)|5 Videos

Similar Questions

Explore conceptually related problems

If x denotes displacement in time t and x=a cost, then acceleration is :-

Relation between displacement x and time t is x=2-5t+6t^(2) , the initial acceleration will be :-

The time period and the amplitude of a simple pendulum are 4 seconds and 0.20 meter respectively. If the displacement is 0.1 meter at time t=0, the equation on its displacement is represented by :-

The displacement of object is proportional to cube of the time, then acceleration is .....

If x, v and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T, then, which of the following does not change with time?

Displacement of SHO increases, its acceleration decrease.

The displacement of a particle varies with time according to the relation y= a sin omega t+b cos omega t ……………

Explain by drawing graphs of displacement x(t) to t , velocity v(t) to t and acceleration a(t) to t of SHM for initial phase zero.

The position x of a particle varies with time t as x=at^(2)-bt^(3) . The acceleration at time t of the particle will be equal to zero, where (t) is equal to .

The graph between the displacement x and time t for a particle moving in a straight line is shown in the figure. During the interval OA, AB, BC and CD the acceleration of the particle is OA, AB, BC, CD

KUMAR PRAKASHAN-MOTION IN A STRAIGHT LINE -SECTION-E
  1. A ship A is moving Westwards with a speed of 10 km h^(-1) and a ship ...

    Text Solution

    |

  2. A particle of unit mass undergoes one dimensional motion such that its...

    Text Solution

    |

  3. Two stones of masses m and 2 m are whirled in horizontal circles, the ...

    Text Solution

    |

  4. Two cars P and Q start from a point at the same time in a straight lin...

    Text Solution

    |

  5. Find the area of a square inscribed in a circle of radius 8 cm.

    Text Solution

    |

  6. A stone falls freely under gravity. It covers distances h(1), h(2) and...

    Text Solution

    |

  7. In an n type silicon, which of the following statements is true:

    Text Solution

    |

  8. The displacement of object is proportional to cube of the time, then a...

    Text Solution

    |

  9. When a man walks he waves his hands, because……….

    Text Solution

    |

  10. If A and B are invertible matrices, then which of the following is not...

    Text Solution

    |

  11. Which of the following statement is correct ?

    Text Solution

    |

  12. Mass of an object is 2 kg and mass of another object is 4 kg. Size of ...

    Text Solution

    |

  13. Which of the following statement is correct ?

    Text Solution

    |

  14. A train of 100 m length moves with 40 m/s and overtakes another train ...

    Text Solution

    |

  15. A bullet is fired into a huge wooden block. The bullet while moving in...

    Text Solution

    |

  16. Speeds of two identical cars are u and 4u at a specific instant. The r...

    Text Solution

    |

  17. A ball is fallen freely from top of tower of height 100 m and another ...

    Text Solution

    |

  18. If the displacement at time 't' is x = acost, the acceleration is .......

    Text Solution

    |

  19. The below shown graphs represent the same motion. But one of them is i...

    Text Solution

    |

  20. Due to which the surface charge density arises on the surface of a die...

    Text Solution

    |