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Question -

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



Answer -

The time taken to goone step is 1 second. In 5s he moves forward through a distance of 5m and thenin next 3s he comes back by 3m. Therefore,  in 8s he covers 2m. So, tocover a distance of 8m he takes 32s. He must take another 5steps forward tofall into the pit. So, the total time taken is 32s + 5s = 37s to fall into apit 13 m away.

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