Home
Class 11
PHYSICS
The displacement of a particle along the...

The displacement of a particle along the x-axis is given by `x=3+8t+7t^2`. Obtain its velocity and acceleration at `t=2s`.

Text Solution

Verified by Experts

The correct Answer is:
` 36 m s^(-1) , 14 ms^(-1)`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN ONE DIMENSION

    SL ARORA|Exercise problem|19 Videos
  • Motion in a Plane

    SL ARORA|Exercise Excercise|397 Videos
  • OSCILLATIONS

    SL ARORA|Exercise Exercise|233 Videos

Similar Questions

Explore conceptually related problems

The displacement s of a particle at a time t is given bys =t^(3)-4t^(2)-5t. Find its velocity and acceleration at t=2 .

The displacement x of a particle along the x-axis at time t is given by x=a_1/2t+a_2/3t^2 . Find the acceleration of the particle.

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

The displacement x of a particle moving along x-axis at time t is given by x^2 =2t^2 + 6t . The velocity at any time t is

The displacement of a particle moving along a straight line is given by s=3t^(3)+2t^(2)-10t. find initial velocity and acceleration of particle.

The displacement (in metre) of a particle moving along X-axis is given by x=18t+5t^(2) . The average acceleration during the interval t_(1)=2s and t_(2)=4s is

The displacement of a particle along the x- axis it given by x = a sin^(2) omega t The motion of the particle corresponds to

The displacement of a particle moving in a straight line is given by s=t^(3)-6t^(2)+3t+4 meters.The velocity when acceleration is zero is "

A particle is moving in a straight line. Its displacement at time t is given by s(I n m)=4t^(2)+2t , then its velocity and acceleration at time t=(1)/(2) second are

The displacement of a particle moving along an x axis is given by x=18t+5.0t^(2) , where x is in meters and t is in seconds. Calculate (a) the instantaneous velocity at t=2.0s and (b) the average velocity between t=2.0s and t=3.0s .

SL ARORA-MOTION IN ONE DIMENSION-problems for self practice
  1. A stone is dropped from the top of a tower 200 m high. At the same tim...

    Text Solution

    |

  2. A body is dropped from the top a towar 150 m, and sumultaneously, anot...

    Text Solution

    |

  3. A body falling freely under gravity passes two points 30 m apart in ...

    Text Solution

    |

  4. A stone is dropped from the top of tall tower and one second later ano...

    Text Solution

    |

  5. A parachutist after bailing out falls 50 m ,whitout friction. When the...

    Text Solution

    |

  6. A body falling freely from rest from the top of a tower describes 60.1...

    Text Solution

    |

  7. A stone is dropped from a balloon at an altitude of '300 m'. How ling...

    Text Solution

    |

  8. four balls are dropped from the top of a tower at intervals of one - ...

    Text Solution

    |

  9. A particle moves along X-axis in such a way that its coordinate X vari...

    Text Solution

    |

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

    Text Solution

    |

  11. the distance traversed by a particle moving along a stranigt line is g...

    Text Solution

    |

  12. Shows the position-time graphs of three cars A,B and C On the basis of...

    Text Solution

    |

  13. An insect crawling up a wall crawls 3 cm upwords in the first minute ...

    Text Solution

    |

  14. a driver of a car travelling at 52 km//h applies the brakes and accele...

    Text Solution

    |

  15. starting form rest a cars moves with unifrom acceleration and attia...

    Text Solution

    |

  16. fig 3.36 showns the velocity time graph of a rocket projeted upwards...

    Text Solution

    |

  17. A motor car, starting from rest, moves with uniform acceleration and a...

    Text Solution

    |

  18. The velocity-time graph of an object moving along a straight line is a...

    Text Solution

    |

  19. As soon as a car just starts from rest in a certain direction, a scoot...

    Text Solution

    |

  20. Fig. 3.39 shows the acceleration - time graph for a particle in rectil...

    Text Solution

    |