Home
Class 12
PHYSICS
The displacement of a moving particle is...

The displacement of a moving particle is given by, ` x=at^3 + bt^2 +ct + d`. The acceleration of particle at t=3 s would be

A

2(a+9b)

B

2(9a+b)

C

9(a+b)

D

3(2a+b)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE|Exercise Assignment(Section-D)|12 Videos
  • MOCK TEST 10

    AAKASH INSTITUTE|Exercise Elxample|27 Videos

Similar Questions

Explore conceptually related problems

The displacement of a particle si given by y = a+bt +ct^(2) +dt^(4) .find the acceleration of a particle.

The angular displacement of a particle is given by theta =t^3 + t^2 + t +1 then,the angular acceleration of the particle at t=2 sec is ……. rad s^(-2)

The displacement of a particle moving along x-axis is given by : x = a + bt + ct^2 The acceleration of the particle is.

Velocity of a particle is given as v = (2t^(2) - 3)m//s . The acceleration of particle at t = 3s will be :

A particle moves along a straight line such that its displacement at any time t is given by s = 3t^(3)+7t^(2)+14t + 5 . The acceleration of the particle at t = 1s is

The displacement of a particle in time t is given by s=2t^2-3t+1 . The acceleration is

If the displacement of a moving particle is given by s=5 + 20 t-2t^(2), then acceleration when velocity is zero, is

If the displacement of a particle is x=t^(3)-4t^(2)-5t , then the acceleration of particle at t=2 is

The displacement of a particle is given by x=At^(3)+Bt^(2)+Ct+D . The dimension of L in (AD)/(BC) will be

AAKASH INSTITUTE-Mock test 03-EXAMPLE
  1. Initially a car is moving with speed of 20 ms^(-1) and covers a distan...

    Text Solution

    |

  2. A body moves along x-axis such that its displacement varies with time ...

    Text Solution

    |

  3. The displacement of a moving particle is given by, x=at^3 + bt^2 +ct ...

    Text Solution

    |

  4. A particle moves along straight line for 10 second with unifrom accele...

    Text Solution

    |

  5. The velocity of a bullet is reduced from 400 ms^(-1) to 100 ms^(-1) wh...

    Text Solution

    |

  6. A particle starting from rest attains a velocity of 50 ms^(-1) in 5 s...

    Text Solution

    |

  7. The position of a particle along x-axis at time t is given by x=1 + t-...

    Text Solution

    |

  8. A car moves a distance of 100 m. It coveres first half with speed of 1...

    Text Solution

    |

  9. A juggler maintain 10 balls in motion, making each of them to rise at ...

    Text Solution

    |

  10. A stone is thrown downwards with velocity 10 m/s from the roof of a bu...

    Text Solution

    |

  11. A stone falls freely such that the distance covered by it in the last ...

    Text Solution

    |

  12. truck is moving with a speed of 15 m/s. A car chasing this truck with ...

    Text Solution

    |

  13. A car 2 m long travelling at 30 ms^(-1) overtakes another car 4 m long...

    Text Solution

    |

  14. A stone is dropped from roof of building takes 5 s to reach the ground...

    Text Solution

    |

  15. A ball is dropped from top of a tower 250 m high. At the same time, an...

    Text Solution

    |

  16. A packet is dropped from a helicopter rising up with velocity 2 ms^(-1...

    Text Solution

    |

  17. A parachutist drops freely from helicopter for 20 s before the parachu...

    Text Solution

    |

  18. Which of the following option is correct regarding freely falling obje...

    Text Solution

    |

  19. A 200 m long train moving with velocity 20 ms^(-1) overtakes a man run...

    Text Solution

    |

  20. An object is dropped from rest. If it falls distance x during first se...

    Text Solution

    |