Home
Class 11
PHYSICS
The velocity-time graph of a particle mo...

The velocity-time graph of a particle moving in a staight line is shown in the . Find the displacement and the distance trav elled by the particle in `6 s`.
.

Text Solution

Verified by Experts

The correct Answer is:
`8 m`; `16 m`

We know that desplacement is area under `v-t` graph . Area from `0` to `2 s` is `4xx 2=8 m`, area form `2` to `4 s` is `-2 xx2 =-4 m`, area from `4` to `6` s `2xx 2=4 m`
So displacement=`8-4+4=8 m`
When we find distance, we consider all areas to be positive.
So distance=`8+4+4=16 m`.
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS-1

    CENGAGE PHYSICS|Exercise Single Correct|52 Videos
  • KINEMATICS-1

    CENGAGE PHYSICS|Exercise Graphical Concept|17 Videos
  • KINEMATICS-1

    CENGAGE PHYSICS|Exercise Exercise 4.4|16 Videos
  • GRAVITATION

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|1 Videos
  • KINEMATICS-2

    CENGAGE PHYSICS|Exercise Exercise Integer|9 Videos

Similar Questions

Explore conceptually related problems

Displacement time graph of a particle moving in a straight line is a shown in figure.

Velocity displacement graph of a particle moving in a straight line is as shown in figure.

The velocity-time graph of a particle moving along a straight line is shown in the figure-given below The displacement of the particle in 5 second is

The velocity - time graph of a particle moving along a straight line is shown in the figure given below The displacement of the particle in 5 second is

The velovity-time graph of a particle moving in a straitht line is shown in . The acceleration of the particle at t=9 s is. .

The variation of velocity of a particle moving along a straight line is as shown in the figure given below. The distance travelled by the particle in 5 s is

The variation of velocity of a particle moving along straight line is shown in the figure. The distance travelled by the particle in 4 s is

Velocity-time graph of a particle moving in a straight line is shown in figure. Plot the corresponding displacement-time graph of the particle if at time t=0, displacement s=0.

CENGAGE PHYSICS-KINEMATICS-1-Subjective
  1. A train of length l=350m starts moving rectilinearly with constant ac...

    Text Solution

    |

  2. Starting at x=0, a particle moves according to the graph of v vs t sho...

    Text Solution

    |

  3. The velocity-time graph of a particle moving in a staight line is show...

    Text Solution

    |

  4. Shows a graph of the acceleration of a model railroad locomotive movin...

    Text Solution

    |

  5. A woman starts from her home at 9.00 a. m., walks with a speed of 5 km...

    Text Solution

    |

  6. A runner jogs a along a straight road (in the +x direction) for 30 min...

    Text Solution

    |

  7. At the instant, the traffic light turns green, a car that has been wai...

    Text Solution

    |

  8. The acceleration of a particle varies with time as shown in . . a....

    Text Solution

    |

  9. A ball is prouected vertical up from the top of a cliff of height h wi...

    Text Solution

    |

  10. A body moving along a straight line traversed one third of the total d...

    Text Solution

    |

  11. A passenger reaches the platform and finds that the second last boggy ...

    Text Solution

    |

  12. Referring to a-s diagram as shown in , findthe velocity of the particl...

    Text Solution

    |

  13. A ballon starts risintg from ground from rest at some constant acceler...

    Text Solution

    |

  14. The balls are released from the top of a tower of heigh H at regular i...

    Text Solution

    |

  15. A car moves in a straight line, the car accelerates from rest with a c...

    Text Solution

    |

  16. A ball is released from the top of a multistory tower. The ball taked ...

    Text Solution

    |

  17. A particle is projected vertically from the ground takes time t(1)=1 s...

    Text Solution

    |

  18. The loaded bucket of a craneachievers a maximum velocity 5 m//s in som...

    Text Solution

    |

  19. At the same instant, ball A is ball B is projected vertically building...

    Text Solution

    |

  20. A railway track runs parallel to a road until a turn brings the road t...

    Text Solution

    |