Home
Class 11
PHYSICS
A drunkard walking in a narrow lane take...

A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backward, followed again by 5 steps forward and 3 steps backward and so on. Each step is 1 m long and requires 1s. Plot the x-t graph of his motion. Determine graphically and otherwise, how long the drunkard takes to fall in a pit 13 m away from the start.

Text Solution

Verified by Experts

from x-t graph time taken `=21 s`
OR `(5m-3m)+(5m-3m)+5m=9m rArr` total steps `=21 rArr` time`=21 s`
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    ALLEN|Exercise EXERCISE-01|55 Videos

  • KINEMATICS

    ALLEN|Exercise EXERCISE-02|57 Videos

  • ERROR AND MEASUREMENT

    ALLEN|Exercise Part-2(Exercise-2)(B)|22 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN|Exercise BEGINNER S BOX-7|8 Videos

Similar Questions

Explore conceptually related problems

A drunkard is walking along a stsraight road. He takes five steps forward and three steps backward and so on. Each step is 1 m long and takes 1 s . There is a pit on the road 11 m , away from the starting point. The drunkard will fall into the pit after.

A drunkard is walking along a straight road. He takes five steps forward and three steps backward and so on. Each step is 1 m long and takes 1 s . There is a pit on the road 11 m , away from the starting point. The drunkard will fall into the pit after.

A man takes a step forward with probability 0.4 and backward with probability 0.6. Find the probability that at the end of 5 steps, he is one step away from the starting point.

A man takes a step forward with probability 0.4 and backward with probability 0.6 . The probability that at the end of eleven steps he is just one step away from the starting point, is

A man takes a step forward with probability 0.4 and backward with probability 0.6 . The probability that at the end of eleven steps he is just one step away from the starting point, is

A man has to move 9 steps. He can move in 4 directions: left, right, forward, backward in how many ways he can move 9 steps such that he finishes his journey one step away (either left orright or forward or backward) from the starting position?

When a current through the medium, an electric field exists as well as a potential which varies in space. Suppose that there is a break in a high - voltage transmission line and the free end of a wire of length L is lying on the ground. An electric current flows through the regions of soil adjoining the conductor. If a man happens to be walking near by a potential difference, which is called the step voltage appears between the points where his feet touch the ground, Consequently, an electric current whose strength depends on this potential difference flows through the man. Let us calculate the step voltage. Since the conductor is quite long, we assume that the current flows from it to the ground in a direction perpendicular to the conductor. The equipotential surfaces are the surfaces of semi-cylinders whose axes coincide with the conductor. Suppose that the man is walking in a direction perpendicular to the conductor with a step of length 'b' the distance between the conductor and the foot closer to it being d. Assuming that the current flows uniformly from the conductor over the semi cylindrical region we obtain the following expression for the current density at a distance from the conductor: j=i/(pirL) In this case , the field strength along the radii perpendicular to the conductor is E_r=j/sigma=l/(pirLsigma) Consequently , the step voltage is V_(st)=int_d^(d+b) Edr =1/(pisigmaL)ln((d+b)/d) For example , If l=500A , d=1 m , b=65 cm and L=30 m we find that V_(st) =270 V. Much higher voltages may appear under other conditions and other shapes of conductors. When a part of a high- voltage transmission line falls on the ground, it creates a hazard

A student is running at her top speed of 5.0 m s^(-1) , to catch a bus, which is stopped at the bus stop. When the student is still 40.0m from the bus, it starts to pull away, moving with a constant acceleration of 0.2 m s^(-2) . a For how much time and what distance does the student have to run at 5.0 m s^(-1) before she overtakes the bus? b. When she reached the bus, how fast was the bus travelling? c. Sketch an x-t graph for bothe the student and the bus. d. Teh equations uou used in part (a)to find the time have a second solution, corresponding to a later time for which the student and the bus are again at thesame place if they continue their specified motions. Explain the significance of this second solution. How fast is the bus travelling at this point? e. If the student s top speed is 3.5 m s^(-1), will she catch the bus? f. What is the minimum speed the student must have to just catch up with the bus?For what time and what distance dies she have to run in that case?

A small rolls of the top of a stairway horizontally with a velocity of 4.5 ms^(-1) . Each step is 0.2 m high and 0.3 m wide. If g is 10ms^(-2) , then the ball will strike the nth step where n is equal to (assume ball strike at the edge of the step).

ALLEN-KINEMATICS-EXERCISE-2
  1. A drunkard walking in a narrow lane takes 5 steps forward and 3 steps ...

    Text Solution

    |

  2. A student performs an experiment to determine how the range of a ball ...

    Text Solution

    |

  3. A student performs an experiment to determine how the range of a ball ...

    Text Solution

    |

  4. A student performs an experiment to determine how the range of a ball ...

    Text Solution

    |

  5. A circus wishes to develop a new clown act. Fig. (1) shows a diagram o...

    Text Solution

    |

  6. A circus wishes to develop a new clown act. Fig. (1) shows a diagram o...

    Text Solution

    |

  7. A circus wishes to develop a new clown act. Fig. (1) shows a diagram o...

    Text Solution

    |

  8. A circus wishes to develop a new clown act. Fig. (1) shows a diagram o...

    Text Solution

    |

  9. A circus wishes to develop a new clown act. Fig. (1) shows a diagram o...

    Text Solution

    |

  10. A circus wishes to develop a new clown act. Fig. (1) shows a diagram o...

    Text Solution

    |

  11. When a particle is undergoing motion, the diplacement of the particle ...

    Text Solution

    |

  12. When a particle is undergoing motion, the diplacement of the particle ...

    Text Solution

    |

  13. When a particle is undergoing motion, the diplacement of the particle ...

    Text Solution

    |

  14. When a particle is undergoing motion, the diplacement of the particle ...

    Text Solution

    |

  15. A projectile is projected with some initial velocity and some initial ...

    Text Solution

    |

  16. A projectile is projected with some initial velocity and some initial ...

    Text Solution

    |

  17. A projectile is projected with some initial velocity and some initial ...

    Text Solution

    |

  18. Figure shows the x-t plot of a particle in one-dimensional motion. Two...

    Text Solution

    |

  19. The position-time (x-t) graphs for two children A and B returning from...

    Text Solution

    |

  20. A particle is moving along x-axis with accelerationa = a(0) (1 – t//T)...

    Text Solution

    |

  21. A particle travels a distance of 20 m in the 7^(th) seconds and 24 m i...

    Text Solution

    |