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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.

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The correct Answer is:
7

As `dvd=vec(a).vec(d)r=adx=5dxrArr int_(0)^(v)vdv=5 int_(0)^(4.9)dxrArr v^(2)/2=5(4.9)rArr v^(2)=49rArrv=7 m//s`
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