Class 12 Exam > Class 12 Questions > A drunkard walking in a narrow lane takes 5 s...
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A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backwards, followed again by 5 steps forward and 3 steps backwards, and so on. Each step is 1 m long and requires 1 s. 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.?
Most Upvoted Answer
A drunkard walking in a narrow lane takes 5 steps forward and 3 steps ...
By the given data, drunkard moves forward and backward frequently..
Each steps take 1sec.
Take movement of one forward(5m) and one backward(3) as a cycle.
*In a cycle he moves 5m forward and 3m backward so the net movement is 2m and it takes 8sec..
~First cycle(5-3)= 2m & 8sec
~Second cycle(5-3)= 2m & 8sec
~Third cycle(5-3)= 2m & 8sec
~Fourth cycle(5-3)= 2m & 8sec
*8m & 32sec(by the end of 4th cycle).
Then he walk 5m(takes 5 sec) as usually and fall down into the pit because now he reaches 13m(8m+5m) & it takes 37sec. Hope it will help you guyz and if you have any doubts means ask here or in private chat box..
Each steps take 1sec.
Take movement of one forward(5m) and one backward(3) as a cycle.
*In a cycle he moves 5m forward and 3m backward so the net movement is 2m and it takes 8sec..
~First cycle(5-3)= 2m & 8sec
~Second cycle(5-3)= 2m & 8sec
~Third cycle(5-3)= 2m & 8sec
~Fourth cycle(5-3)= 2m & 8sec
*8m & 32sec(by the end of 4th cycle).
Then he walk 5m(takes 5 sec) as usually and fall down into the pit because now he reaches 13m(8m+5m) & it takes 37sec. Hope it will help you guyz and if you have any doubts means ask here or in private chat box..
Community Answer
A drunkard walking in a narrow lane takes 5 steps forward and 3 steps ...
Steps of the Drunkard's Motion
- The drunkard takes 5 steps forward, which moves him 5 meters forward.
- He then takes 3 steps backwards, which moves him 3 meters back to his original position.
- He repeats this pattern of 5 steps forward and 3 steps backward multiple times.
X-t Graph of the Drunkard's Motion
The x-t graph of the drunkard's motion is a zigzag pattern. Each horizontal section of the graph represents the time that the drunkard spends walking forward, and each downward sloping section represents the time he spends walking backward. The graph crosses the x-axis at every third step, which corresponds to the point where he walks back to his original position.
Calculating the Time Taken to Fall into the Pit
To calculate how long it takes the drunkard to fall into the pit, we need to find the point on the x-axis where he reaches 13 meters from his starting point. We can do this by counting the number of steps he takes and using the fact that each step is 1 meter long.
- After 5 steps forward and 3 steps backward, the drunkard has moved 2 meters forward.
- After 10 steps forward and 6 steps backward, the drunkard has moved 4 meters forward.
- After 15 steps forward and 9 steps backward, the drunkard has moved 6 meters forward.
- After 20 steps forward and 12 steps backward, the drunkard has moved 8 meters forward.
- After 25 steps forward and 15 steps backward, the drunkard has moved 10 meters forward.
- After 30 steps forward and 18 steps backward, the drunkard has moved 12 meters forward.
- After 35 steps forward and 21 steps backward, the drunkard has moved 14 meters forward.
Therefore, it takes the drunkard 35 steps to reach the pit, which is 35 seconds since each step takes 1 second.
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A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backwards, followed again by 5 steps forward and 3 steps backwards, and so on. Each step is 1 m long and requires 1 s. 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.?
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A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backwards, followed again by 5 steps forward and 3 steps backwards, and so on. Each step is 1 m long and requires 1 s. 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.? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backwards, followed again by 5 steps forward and 3 steps backwards, and so on. Each step is 1 m long and requires 1 s. 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.? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backwards, followed again by 5 steps forward and 3 steps backwards, and so on. Each step is 1 m long and requires 1 s. 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.?.
A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backwards, followed again by 5 steps forward and 3 steps backwards, and so on. Each step is 1 m long and requires 1 s. 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.? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backwards, followed again by 5 steps forward and 3 steps backwards, and so on. Each step is 1 m long and requires 1 s. 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.? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backwards, followed again by 5 steps forward and 3 steps backwards, and so on. Each step is 1 m long and requires 1 s. 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.?.
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A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backwards, followed again by 5 steps forward and 3 steps backwards, and so on. Each step is 1 m long and requires 1 s. 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.?, a detailed solution for A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backwards, followed again by 5 steps forward and 3 steps backwards, and so on. Each step is 1 m long and requires 1 s. 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.? has been provided alongside types of A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backwards, followed again by 5 steps forward and 3 steps backwards, and so on. Each step is 1 m long and requires 1 s. 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.? theory, EduRev gives you an
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