Home
Class 11
PHYSICS
The velocity-time graph of a stone throw...


The velocity-time graph of a stone thrown vertically upward with an initial velocity of `30ms^(-1)` is shown in the figure. The velocity in the upward direction is taken as positive and that in the downward direction as negative. What is the maximum height to which the stone rises?

A

30 m

B

45 m

C

60 m

D

90 m

Text Solution

Verified by Experts

The correct Answer is:
B

`h = (u^(2))/(2a)`, From graph `u = 30 m//s, a = (30)/(3) = 10 m//s^(2)`
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

Matching type Question : For a body thrown vertically upwards with initial velocity u

A stone is thrown vertically upwards with a velocity of 4.9 ms^(-1) . Calculate : the maximum height reached.

A stone is thrown vertically upwards with a velocity of 4.9 ms^(-1) . Calculate : the time taken to reach the ground.

A stone is thrown vertically upwards with a velocity of 4.9 ms^(-1) . Calculate : the velocity with which it returns to the ground.

A ball is thrown vertically upwards with a velocity of 49 ms^-1 . Calculate :The maximum height to which it rises

A stone is thrown vertically upwards with a velocity of 4.9 ms^(-1) . Calculate : the time taken to reach the maximum height.

Draw a velocity versus time graph of a stone thrown vertically upwards and then coming downwards after attaining the maximum height .

A rocket is projected vertically upwards and its time velocity graph is shown in the figure-1.115. The maximum height attained by the rocket is :

GRB PUBLICATION-MOTION IN A STRAIGHT LINE-Objective question
  1. An elevator is going up. The variation in the velocity of the elevato...

    Text Solution

    |

  2. The velocit-time graph of a body moving in a straight line is shown in...

    Text Solution

    |

  3. The velocity-time graph of a stone thrown vertically upward with an in...

    Text Solution

    |

  4. The variation of velocity of a particle with time moving along a strai...

    Text Solution

    |

  5. Figure shows the displacement time (x-t) graph of a body moving in a s...

    Text Solution

    |

  6. Velocity-time graph for a moving object is shown in the figure. Total ...

    Text Solution

    |

  7. A car 2m long and 3m wide is moving at 10m//s when a bullet hits it in...

    Text Solution

    |

  8. Two particles start simultaneously from the same point and move along ...

    Text Solution

    |

  9. A jet airplance travelling at the speed of 500 km ^(-1) ejects its pr...

    Text Solution

    |

  10. A body is projected upwards with a velocity u. It passes through a cer...

    Text Solution

    |

  11. A small block slides without friction down an iclined plane starting f...

    Text Solution

    |

  12. The graph shown the variation of velocity of a rocket with time. Then,...

    Text Solution

    |

  13. The velocity -time (v - t) graph of a particle moving in a straight li...

    Text Solution

    |

  14. Velocity versus displacement graph of a particle moving in a straight ...

    Text Solution

    |

  15. Two stones are thrown up simultaneously with initial speeds of u(1) an...

    Text Solution

    |

  16. The displacement-time graph of a moving particle with constant acceler...

    Text Solution

    |

  17. In 1.0 s, a particle goes from point A to point B , moving in a semici...

    Text Solution

    |

  18. A ball is dropped vertically from a height d above the ground . It hit...

    Text Solution

    |

  19. A small block slides without friction down an iclined plane starting f...

    Text Solution

    |

  20. A particle starting from rest. Its acceleration (a) versus time (t) is...

    Text Solution

    |