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 `1m` long and requires 1s. Plot the x-t graph of his motion. Determine graphically or otherwise how long the drunkard takes to fall in a pit 9 m away from the start.

Answer

7

Explanation

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`