﻿ 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 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. from Physics Motion in Straight Line Class 11 CBSE

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 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.

As the length of one step of the drunkard is 1 m long and takes one second to take one step, therefore the speed of drunkard is 1m/s. When he walk 5 steps forward, its position is 5m at time 5s, then he walks 3 steps backward, therefore the position of drunkard at 8 sec. becomes 2m

At       t = 5s             x = 5m
and                         at       t = 8s             x = 2m
at       t = 13s           x = 7m
at       t = 16s           x = 9m
at       t = 24s           x = 6m
at       t = 29s           x = 11m
and so on

The position time graph is as shown in figure.

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In which of the following examples of motion, can the body be considered approximately a point object:

(d) a tumbling beaker that has slipped off the edge of a table.

The size of a beaker is comparable to the height of the table from which it slipped. Hence, the beaker cannot be considered as a point object.
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In which of the following examples of motion, can the body be considered approximately a point object:

c) a spinning cricket ball that turns sharply on hitting the ground.

The size of a spinning cricket ball is comparable to the distance through which it turns sharply on hitting the ground. Therefore, the cricket ball cannot be considered as a point object.
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In which of the following examples of motion, can the body be considered approximately a point object:
(b) a monkey sitting on top of a man cycling smoothly on a circular track

The size of a monkey is very small as compared to the size of a circular track. Therefore, the monkey can be considered as a point-sized object on the track.
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In which of the following examples of motion, can the body be considered approximately a point object:
(a) a railway carriage moving without jerks between two stations

The size of a carriage is very small as compared to the distance between two stations. Therefore, the carriage can be treated as a point-sized object.
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A woman starts from her home at 9.00 am, walks with a speed of 5 km h–1 on a straight road up to her office 2.5 km away, stays at the office up to 5.00 pm, and returns home by an auto with a speed of 25 km h–1. Choose suitable scales and plot the x-t graph of her motion.

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