Home
Class 11
PHYSICS
The displacement of a particle is given ...

The displacement of a particle is given by `y=(6t^2+3t+4)m`, where t is in seconds. Calculate the instantaneous speed of the particle.

A

`6t+3ms^-1`

B

`12t^2+4ms^-1`

C

`12t+3ms^-1`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C

`y=6t^2+3t+4impliesv=(dy)/(dv)=12t+3ms^-1`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS

    CENGAGE PHYSICS|Exercise Exercise 2.5|2 Videos
  • ARCHIVES 2 VOLUME 6

    CENGAGE PHYSICS|Exercise Integer|4 Videos
  • CALORIMETRY

    CENGAGE PHYSICS|Exercise Solved Example|13 Videos

Similar Questions

Explore conceptually related problems

The displacement of a partcle is given by x=(t-2)^(2) where x is in metre and t in second. The distance coverred by the particle in first 3 seconds is

The displacement of a particle is moving by x = (t - 2)^2 where x is in metres and t in second. The distance covered by the particle in first 4 seconds is.

The angular displacement of a particle is given by theta = t^3 + 2t +1 , where t is time in seconds. Its angular acceleration at t=2s is

The position of a particle is given by x=2(t-t^(2)) where t is expressed in seconds and x is in metre. The acceleration of the particle is

The angular displacement of a particle is given by theta = t^4 +t^3 +t^2 +1 where ‘t’ is time in seconds. Its angular velocity after 2 sec is

The position of a particle is given by x=2(t-t^(2)) where t is expressed in seconds and x is in metre. The particle

The displacement of a particle starting from rest (at t = 0) is given by s = 6t^(2) - t^(3) . The time in seconds at which the particle will attain zero velocity again, is

The velocity of a particle is given by v=(2t^(2)-4t+3)m//s where t is time in seconds. Find its acceleration at t=2 second.

The displacement of a particle moving in a straight line, is given by s = 2t^2 + 2t + 4 where s is in metres and t in seconds. The acceleration of the particle is.

CENGAGE PHYSICS-BASIC MATHEMATICS-Exercise 2.6
  1. The displacement of a particle is given by y=(6t^2+3t+4)m, where t is ...

    Text Solution

    |

  2. The velocity of a particle is given by v=12+3(t+7t^2). What is the acc...

    Text Solution

    |

  3. A particle starts from origin with uniform acceleration. Its displacem...

    Text Solution

    |

  4. The acceleration of a particle is given by a=t^3-3t^2+5, where a is in...

    Text Solution

    |

  5. A particle starts moving along the x-axis from t=0, its position varyi...

    Text Solution

    |

  6. A particle moves along the x-axis obeying the equation x=t(t-1)(t-2), ...

    Text Solution

    |

  7. The speed of a car increases uniformly from zero to 10ms^-1 in 2s and ...

    Text Solution

    |

  8. A car accelerates from rest with 2ms^-2 for 2s and then decelerates co...

    Text Solution

    |

  9. A stationary particle of mass m=1.5kg is acted upon by a variable forc...

    Text Solution

    |

  10. The displacement of a body at any time t after starting is given by s=...

    Text Solution

    |

  11. A particle moves along a staight line such that its displacement at an...

    Text Solution

    |

  12. The displacement x of a particle moving in one dimension under the act...

    Text Solution

    |

  13. The position x of a particle varies with time t according to the relat...

    Text Solution

    |

  14. The displacement of a particle along the x-axis is given by x=3+8t+7t^...

    Text Solution

    |

  15. The acceleration a in ms^-2 of a particle is given by a=3t^2+2t+2, whe...

    Text Solution

    |

  16. The displacement x of a particle along the x-axis at time t is given b...

    Text Solution

    |

  17. A particle moves along a straight line such that its displacement s at...

    Text Solution

    |

  18. The acceleration of a bus is given by ax(t)=at, where a=1.2ms^-2. a....

    Text Solution

    |

  19. The acceleration of a motorcycle is given by ax(t)=At-Bt^2, where A=1....

    Text Solution

    |

  20. The acceleration of a particle varies with time t seconds according to...

    Text Solution

    |