Home
Class 11
PHYSICS
A car moves along a straight line whose ...

A car moves along a straight line whose equation of motion is given by
`s=12t+3t^(2)-2t^(3)`
where s is in metres and t is in seconds. The velocity of the car at start will be :-

A

`7ms^-1`.

B

`9ms^-1`

C

`12ms^-1`.

D

`16ms^-1`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MECHANICS

    SL ARORA|Exercise Exercise|341 Videos
  • Mechanical Properties of Solids

    SL ARORA|Exercise Example|113 Videos
  • Motion in a Plane

    SL ARORA|Exercise Excercise|397 Videos

Similar Questions

Explore conceptually related problems

A particle moves along a straight line such that its position x at any time t is x=3t^(2)-t^(3) , where x is in metre and t in second the

The position of the particle moving along x-axis is given by x=2t-3t^(2)+t^(3) where x is in mt and t is in second.The velocity of the particle at t=2sec is

A particle starts from rest at t=0 and moves along a straight line with a variable acceleration given by a (t)=(3t+1)ms^(-2) ,where t],[ is in seconds.The velocity of the particle at t=4s is

A particle in moving in a straight line such that its velocity is given by v=12t-3t^(2) , where v is in m//s and t is in seconds. If at =0, the particle is at the origin, find the velocity at t=3 s .

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.

The displacement of a particla moving in straight line is given by s=t^(4)+2t^(3)+3t^(2)+4 , where s is in meters and t is in seconds. Find the (a) velocity at t=1 s , (b) acceleration at t=2 s , (c ) average velocity during time interval t=0 to t=2 s and (d) average acceleration during time interval t=0 to t=1 s .

The velocity v of a body moving along a straight line varies with time t as v=2t^(2)e^(-t) , where v is in m/s and t is in second. The acceleration of body is zero at t =

A particle is moving in a straight line. Its displacement at any instant t is given by x = 10 t+ 15 t^(3) , where x is in meters and t is in seconds. Find (i) the average acceleration in the intervasl t = 0 to t = 2s and (ii) instantaneous acceleration at t = 2 s.

[" A particle starts from "],[" rest at "t=0" and moves "],[" along a straight line with "],[" a variable acceleration "],[" given by a "(t)=(3t+1)ms^(-2)],[" where "t" is in seconds."],[" The velocity of the "],[" particle at "t=4s" is "]

The motion of a particle along a straight line is described by equation : x = 8 + 12 t - t^3 where x is in metre and t in second. The retardation of the particle when its velocity becomes zero is.

SL ARORA-MECHANICS-Exercise
  1. A car moves from X to Y with a uniform speed vu and returns to Y with ...

    Text Solution

    |

  2. A particle covers half of its total distance with speed v1 and the res...

    Text Solution

    |

  3. A car moves along a straight line whose equation of motion is given by...

    Text Solution

    |

  4. A particle moves along a straight line AB. At a time t (in seconds) th...

    Text Solution

    |

  5. The position x of a particle varies with time t as x=at^(2)-bt^(3). Th...

    Text Solution

    |

  6. Motion of particle is given by equation s=(3t^(3)+7t^(2)+14t+8)m T...

    Text Solution

    |

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

    Text Solution

    |

  8. The motion of a particle along a straight line is described by equatio...

    Text Solution

    |

  9. A particle move a distance x in time t according to equation x = (t + ...

    Text Solution

    |

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

    Text Solution

    |

  11. The displacement x of a particle varies with time t as x = ae^(-alpha ...

    Text Solution

    |

  12. The position x of a particle with respect to time t along x-axis is gi...

    Text Solution

    |

  13. The deceleration exerienced by a moving motor blat, after its engine i...

    Text Solution

    |

  14. A particle moving along x-axis has acceleration f, at time t, given by...

    Text Solution

    |

  15. The acceleration of a particle is increasing linearly with time t as b...

    Text Solution

    |

  16. If a car at rest, accelerates uniformly to a speed of 144 km//h in 20s...

    Text Solution

    |

  17. The velocity of train increases uniformly from 20 km/h to 60 km/h in 4...

    Text Solution

    |

  18. A car moving with a speed of 40 km//h can be stopped by applying the b...

    Text Solution

    |

  19. A car is moving along a straight road with a uniform acceleration. It ...

    Text Solution

    |

  20. A car accelerates from rest at a constant rate for some time after wh...

    Text Solution

    |