Home
Class 12
PHYSICS
If a particle starts moving along a stra...

If a particle starts moving along a straight ine withinitial velocity u under contact acceleration a, its displacement with time is given by the relation `x=ut+(1)/(2)at^2`
Q. Differentiation of `x` w.r.t. `t` will be

A

`y=(at)/(2)`

B

`u+at`

C

`u+2at`

D

`(ut^2)/(2)+(at^3)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
B
`x=ut+(1)/(2)at^2`
`dx=u(1)+(1)/(2)a(2t)=u+at`
Promotional Banner

Topper's Solved these Questions

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS|Exercise single correct type|14 Videos

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS|Exercise subjective type|51 Videos

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS|Exercise Fill in the blanks type|26 Videos

  • CAPACITOR AND CAPACITANCE

    CENGAGE PHYSICS|Exercise Integer|5 Videos

  • CENTRE OF MASS CONVERSATION OF MOMENTUM AND COLLISION

    CENGAGE PHYSICS|Exercise Question Bank|38 Videos

Similar Questions

Explore conceptually related problems

If a particle starts moving along a straight ine withinitial velocity u under contact acceleration a, its displacement with time is given by the relation x=ut+(1)/(2)at^2 Q. The concerned deviation of positon time realtion w.r.t will be. Differentiation of above result w.r.t. t will be

Differentiation of x^2 w.r.t. x is

Differentiation of sin(x^2) w.r.t. x is

Differentiation of sin(x^(2)+3)w.r.t.x is-

Find differentiation of cot x^(2) w.r.t x .

Differentiate cos^(2)x^(3) w.r.t x

Differentiate sin(x^(2)+5) w.r.t. x.

Differentiate sin(x^(2)+x)w.r.t.x

If a particle starts moving along x-axis from origin with initial velocity u=2m/s and acceleration 4m//s^(2) the relation between displacement and time is given as x=2t+2t^(2) . Draw the displacement time graph for t ul(gt)0 .

Find the differentiation of 2/pisinxo w.r.t. \ x

CENGAGE PHYSICS-CENGAGE PHYSICS DPP-Comprehension Type
  1. If a particle starts moving along a straight ine withinitial velocity ...

    Text Solution

    |

  2. If a particle starts moving along a straight ine withinitial velocity ...

    Text Solution

    |

  3. If charge flown through a wire is given by q=3sin(3t), then Q. Find ...

    Text Solution

    |

  4. If charge flown through a wire is given by q=3sin(3t), then Q. Find ...

    Text Solution

    |

  5. Velocity of a particle varies as v=2t^3-3t^2 in (km)/(hr) If t=0 is ta...

    Text Solution

    |

  6. Velocity of a particle varies as v=2t^3-3t^2 in (km)/(hr) If t=0 is ta...

    Text Solution

    |

  7. Velocity of a particle varies as v=2t^3-3t^2 in (km)/(hr) If t=0 is ta...

    Text Solution

    |

  8. Velocity of a particle varies as v=2t^3-3t^2 in (km)/(hr) If t=0 is ta...

    Text Solution

    |

  9. If a=(3t^2+2t+1) m/s^2 is the expression according to which the accele...

    Text Solution

    |

  10. If a=(3t^2+2t+1) m/s^2 is the expression according to which the accele...

    Text Solution

    |

  11. If a=(3t^2+2t+1) m/s^2 is the expression according to which the accele...

    Text Solution

    |

  12. A man is standing on top of a building 100 m high. He throws two ball ...

    Text Solution

    |

  13. A man is standing on top of a building 100 m high. He throws two ball ...

    Text Solution

    |

  14. A boy in the elevator shoots a bullet in a vertical upward direction f...

    Text Solution

    |

  15. A boy in the elevator shoots a bullet in a vertical upward direction f...

    Text Solution

    |

  16. A boy in the elevator shoots a bullet in a vertical upward direction f...

    Text Solution

    |

  17. A boy in the elevator shoots a bullet in a vertical upward direction f...

    Text Solution

    |

  18. Points A and C are on the horizontal ground and A and B are in same ve...

    Text Solution

    |

  19. Points A and C are on the horizontal ground and A and B are in same ve...

    Text Solution

    |

  20. Points A and C are on the horizontal ground and A and B are in same ve...

    Text Solution

    |