Home
Class 12
PHYSICS
The position of a particle along x-axis ...

The position of a particle along x-axis at time t is given by `x=1 + t-t^2`. The distance travelled by the particle in first 2 seconds is

A

1 m

B

2 m

C

2.5 m

D

3 m

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE|Exercise Assignment(Section-D)|12 Videos
  • MOCK TEST 10

    AAKASH INSTITUTE|Exercise Elxample|27 Videos

Similar Questions

Explore conceptually related problems

The position of a particle along x-axis at time t is given by x=1-t+t^(2) . The distance travelled by the particle (in 'm') in first 2 seconds is 's'. Fill '2s' in OME sheet.

Position of a particle moving along x-axis is given by x=2+8t-4t^(2) . The distance travelled by the particle from t=0 to t=2 is:-

The position of a particle along X-axis at time t is given by x=2+t-3t^(2) . The displacement and the distance travelled in the interval, t = 0 to t = 1 are respectively

The position of a particle moving rectilinearly is given by x = t^3 - 3 t^2 - 10 . Find the distance travelled by the particle in the first 4 seconds starting from t = 0 .

A particle moves along a straight line on y-axis. The distance of the particle from O varies with time and is given by : y = 20t - t^2 . The distance travelled by the particle before it momentarily comes to rest is

The position of a body moving along x-axis at time t is given by x= (t^(2)-4t+6)m . The distance travelled by body in time interval t = 0 to t = 3 s is

A particle moves along x -axis. The position of the particle at time t is given as x=t^(3)-9t^(2)+24t+1 . Find the distance traveled in first 5 seconds.

The position x of a particle moving along x - axis at time (t) is given by the equation t=sqrtx+2 , where x is in metres and t in seconds. Find the work done by the force in first four seconds

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 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

AAKASH INSTITUTE-Mock test 03-EXAMPLE
  1. The displacement of a moving particle is given by, x=at^3 + bt^2 +ct ...

    Text Solution

    |

  2. A particle moves along straight line for 10 second with unifrom accele...

    Text Solution

    |

  3. The velocity of a bullet is reduced from 400 ms^(-1) to 100 ms^(-1) wh...

    Text Solution

    |

  4. A particle starting from rest attains a velocity of 50 ms^(-1) in 5 s...

    Text Solution

    |

  5. The position of a particle along x-axis at time t is given by x=1 + t-...

    Text Solution

    |

  6. A car moves a distance of 100 m. It coveres first half with speed of 1...

    Text Solution

    |

  7. A juggler maintain 10 balls in motion, making each of them to rise at ...

    Text Solution

    |

  8. A stone is thrown downwards with velocity 10 m/s from the roof of a bu...

    Text Solution

    |

  9. A stone falls freely such that the distance covered by it in the last ...

    Text Solution

    |

  10. truck is moving with a speed of 15 m/s. A car chasing this truck with ...

    Text Solution

    |

  11. A car 2 m long travelling at 30 ms^(-1) overtakes another car 4 m long...

    Text Solution

    |

  12. A stone is dropped from roof of building takes 5 s to reach the ground...

    Text Solution

    |

  13. A ball is dropped from top of a tower 250 m high. At the same time, an...

    Text Solution

    |

  14. A packet is dropped from a helicopter rising up with velocity 2 ms^(-1...

    Text Solution

    |

  15. A parachutist drops freely from helicopter for 20 s before the parachu...

    Text Solution

    |

  16. Which of the following option is correct regarding freely falling obje...

    Text Solution

    |

  17. A 200 m long train moving with velocity 20 ms^(-1) overtakes a man run...

    Text Solution

    |

  18. An object is dropped from rest. If it falls distance x during first se...

    Text Solution

    |

  19. A ball thrown vertically upward with initial velocity u. Which of the ...

    Text Solution

    |

  20. Two cars move uniformly towards each othar, the distance between them ...

    Text Solution

    |