Home
Class 11
PHYSICS
If the velocity of a particle is v = At ...

If the velocity of a particle is `v = At + Bt^2`. where A and B are constants, then the distance travelled by it between 1 s and 2 s is

A

`3/2 A + 7/3 B`

B

`A/2 + B/3`

C

`3/2A + 4B`

D

`3A +7B`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MEASUREMENTS

    TARGET PUBLICATION|Exercise EVALUATION TEST|17 Videos
  • OPTICS

    TARGET PUBLICATION|Exercise EXERCISE|447 Videos

Similar Questions

Explore conceptually related problems

The v-t graph of an athelets is shown below. The distance travelled by him between t=0 and t=12 s is

A particle is moving in a verticle circle. If v_1 is the velocity of particle at highest point and v_2 is the velocity of particle at lowest point , then the relation between v_1 and v_2 is

The velocity v of a particle at time t is given by v=at+b/(t+c) , where a, b and c are constants. The dimensions of a, b, c are respectively :-

A body has initial velocity of 3 m//s and has an acceleration of 2 m//s^2 . The distance travelled by it in 5 s and its velocity is

The horizontal distance x and the vertical height y of a projectile at a time t are given by x=at and y=bt^2 +ct where a, b and c are constants The magnitude of the velocity of the projectile 1 second after it is fired is

A particle executes simple harmonic motion with an amplitude of 4 cm . At the mean position the velocity of the particle is 10 cm/ s . The distance of the particle from the mean position when its speed becomes 5 cm/s is

The velocity of an object moving in straight line path is given as a function of time by v = 6t - 3t^2 , where v is in ms^-1 , t is in s. The average velocity of the object between t=0 and t=2 second is

Displacment x of a particle at time t is given by x=At^(2)+Bt+C , where A,B,Care constants .If v is its velocity, then : 4Ax-v^(2)=

A particle travels 10 m in first 5 s and 10 m next 3 s. Assuming constant acceleration what is the distance travelled in next 2 seconds?

Choose the correct option. If x = at + bt^2 , where x is distance travelled by body in km while t is second, then unit of b are

TARGET PUBLICATION-Motion in a plane-Exercise
  1. Preeti reached the metro station and found that the escalator was not ...

    Text Solution

    |

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

    Text Solution

    |

  3. If the velocity of a particle is v = At + Bt^2. where A and B are cons...

    Text Solution

    |

  4. The displacement of a body along x-axis depends on time as x= sqrt (t+...

    Text Solution

    |

  5. The displacement of a particle moving in a straight line is given by t...

    Text Solution

    |

  6. An object moving with a speed of 6.25 m/s, is decelerated at a rate gi...

    Text Solution

    |

  7. A particle is moving with constant acceleration and v1, v2 and v3 are ...

    Text Solution

    |

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

    Text Solution

    |

  9. An object moving with a speed of 6.25 m/s, is decelerated at a rate gi...

    Text Solution

    |

  10. A particle first accelerates from rest and then retards to rest during...

    Text Solution

    |

  11. A car accelerate from rest with 2 m/s^2 on a straight line path and t...

    Text Solution

    |

  12. The velocity of an object moving in straight line path is given as a f...

    Text Solution

    |

  13. Consider a car initially at rest, starts to move along a straight road...

    Text Solution

    |

  14. The velocity-time graph for two bodies A and Bare shown. Then the acce...

    Text Solution

    |

  15. A particle shows distance-time curve as shown in the figure. The maxim...

    Text Solution

    |

  16. The nature of graph drawn for a freely falling body with time on the x...

    Text Solution

    |

  17. A body is thrown vertically upwards. Which one of the following graphs...

    Text Solution

    |

  18. All the graphs below are intended to represent the same motion. One of...

    Text Solution

    |

  19. The speed versus time graph of a moving particle is shown in the follo...

    Text Solution

    |

  20. A toy car with charge moves on a frictionless horizontal plane surface...

    Text Solution

    |