Home
Class 11
PHYSICS
The speed of a body moving on a straight...

The speed of a body moving on a straight track varies according to `v = 2 t + 13 " for " 0 le t le 5 s, v = 3 t + 8 " for " 5 lt t lt 7s` and `v = 4 t + 1 " for " t lt 7s`. The distance are measured in metre. The distance in metres moved by the particle at the end of 10 second is :

A

127

B

247

C

186

D

313

Text Solution

Verified by Experts

The correct Answer is:
B
`int_(0)^(5)v dt + int_(5)^(7) vdt + int_(7)^(10) v dt = s`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE

    GRB PUBLICATION|Exercise More than one choice is correct|16 Videos

  • MOTION IN A STRAIGHT LINE

    GRB PUBLICATION|Exercise Assertion Reason|12 Videos

  • MOTION IN A STRAIGHT LINE

    GRB PUBLICATION|Exercise Problems and Practice|16 Videos

  • FRICTION AND CIRCULAR MOTION

    GRB PUBLICATION|Exercise Comprehension type|11 Videos

  • MOTION IN TWO AND THREE DIMENSIONS

    GRB PUBLICATION|Exercise All Questions|210 Videos

Similar Questions

Explore conceptually related problems

The speed of a body moving on a straight trach varies according to v=(4)/(5)t^2+3 for 0lttlt5 sec and v=3t+8 for tgt5 sec. If dinstances are in meters, find the distance moved by a particle at the end of 10 sec.

A bicycle moves along a stragith road such that its construct the v-t and a-t graphs for 0 le t le 30 .

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 =

Velocity time equation of a particle moving in a straight line is v=2t-4 for tle2s and v=4-2t for tgt2 .The distance travelled by the particle in the time interval from t=0 to t=4s is (Here t is in second and v in m/s)

The distance travelled s in metres by a particle in t second is given by s=t^(3)+2t^(2)+t . The speed of the particle after 1s will be

The distance covered by an object (in meter) is given by s=8 t^(3)-7t^(2)+5t Find its speed at t = 2 s.

The distance s metres covered by a boy in t second, is given by s=3t^(2)-8t+5 . The boy will stop after

The velocity 'v' of a particle moving along straight line is given in terms of time t as v=3(t^(2)-t) where t is in seconds and v is in m//s . The distance travelled by particle from t=0 to t=2 seconds is :

The velocity v of a particle at any instant t moving in a straight line is given by v=s +1 where s meter is the distance travelled in t second what is the time taken by the particle to cover a distacne of 9m ?

A particle starts moving rectilinearly at time t = 0 such that its velocity(v) changes with time (t) as per equation – v = (t2 – 2t) m//s for 0 lt t lt 2 s = (–t^(2) + 6t – 8) m//s for 2 le te 4 s (a) Find the interval of time between t = 0 and t = 4 s when particle is retarding. (b) Find the maximum speed of the particle in the interval 0 le t le 4 s .

GRB PUBLICATION-MOTION IN A STRAIGHT LINE-Objective question
  1. A particle travels 10m in first 5 sec and 10 m in next 3 sec. Assuming...

    Text Solution

    |

  2. A man starts chasing his dog 10 second after the latter runs along a s...

    Text Solution

    |

  3. The speed of a body moving on a straight track varies according to v =...

    Text Solution

    |

  4. The speed of a car was 50 km//hr for the first 900s, then 40 km/hr for...

    Text Solution

    |

  5. From the top of a tower a stone is thrown up which reaches the ground ...

    Text Solution

    |

  6. A parachutist steps from an aircraft, falls freely for two second, and...

    Text Solution

    |

  7. With what speed should a body be thrown upwards so that the distances ...

    Text Solution

    |

  8. A particle moving with a uniform acceleration along a straight line co...

    Text Solution

    |

  9. A particle's position as a function of time is described as y (t) = 2t...

    Text Solution

    |

  10. A coin is dropped in a lift. It takes time t(1) to reach the floor whe...

    Text Solution

    |

  11. The v - t graph for a particle is shown. The distance travelled in the...

    Text Solution

    |

  12. The velocity of a particle is v = v(0) + g t + ft^(2). If its position...

    Text Solution

    |

  13. A particle located at x = 0 at time t = 0, starts moving along with t...

    Text Solution

    |

  14. A ball of mass 0.2 kg is thrown vertically upwards by applying a force...

    Text Solution

    |

  15. A man throws balls with the same speed vertically upwards one after th...

    Text Solution

    |

  16. A car moves from X to Y with a uniform speed vu and returns to Y with ...

    Text Solution

    |

  17. A point initially at rest moves along x-axis. Its acceleration varies ...

    Text Solution

    |

  18. A lift is moving with a uniform downward acceleration of 2 m//s^(2). A...

    Text Solution

    |

  19. A juggler maintains four balls in vertically upwards motion. He attemp...

    Text Solution

    |

  20. A particle is projected vertically from the ground, takes time t(1) up...

    Text Solution

    |