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 in 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 man takes a step forward with probability 0.4 and backwards with probability 0.6 find the probability that at the end of eleven 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 leaves his home early in the morning to have a walk. He arrives at a junction of roads A and B as shown in figure. He takes the following steps in later journies : (i) 1 km in North direction. (ii) Changes direction and moves in North-East direction for 2 sqrt(2) km. (iii) Changes direction and moves Southwards for distance of 2 km. (iv) Finally he changes the direction and moves in South-East direction to reach road A again. Now if roads A and B are taken as X-axis and y-axis ,then visible point representing the graph of y=f(x) Then the value of x at which function f(x) is discontinous

A man leaves his home early in the morning to have a walk. He arrives at a junction of roads A and B as shown in figure. He takes the following steps in later journies : (i) 1 km in North direction. (ii) Changes direction and moves in North-East direction for 2 sqrt(2) km. (iii) Changes direction and moves Southwards for distance of 2 km. (iv) Finally he changes the direction and moves in South-East direction to reach road A again. Now if roads A and B are taken as X-asix and Y-axis, then visible point representing the graph of y = f(x). Then the value of x at which function f(x) is discontionous

A man leaves his home early in the morning to have a walk. He arrives at a junction of roads A and B as shown in figure. He takes the following steps in later journies : (i) 1 km in North direction. (ii) Changes direction and moves in North-East direction for 2 sqrt(2) km. (iii) Changes direction and moves Southwards for distance of 2 km. (iv) Finally he changes the direction and moves in South-East direction to reach road A again. Now if roads A and B are taken as X-asix and Y-axis, then visible point representing the graph of y = f(x). Then the value of x at which function f(x) is discontionous

A boy standing on a stationary lift (open from above) throws a ball upwards with the maximum initial speed he can, equal to 49 m s^-1 . How much time does the ball take to return to his hands? If the lift starts moving up with a uniform speed of 5 m s^-1 and the boy again throws the ball up with the maximum speed he can, how long does the ball take to return to his hands ?

As shown in the given figure. the two sides of a step ladder BA and CA are 1.6 m long and hinged at A.A rope DE, 0.5 m is tied half way up. A weight 40 kg is suspended from a point F, 1,2 m from B along the ladder BA. Assuming the floor to be frictionless and neglecting the weight of the ladder, find the tension in te rope and forces exerted by the floor on the ladder. (Take g = 9.8 ms^-2 ) (Hint: consider the equilibrium of each side of the ladder separately).

Chromium metal can be plated out from an acidic solution containing CrO_3 according to the following reaction: CrO_3(aq)+6H^+(aq)+6barerarrCr(s)+3H_2O Calculate how long will it take to place out 1.5 g of chromium using 12.5 amp current? (Atomic mass of Cr=52)