Question:
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 lm long and requires Is. Determine how long the drunkard takes to fall in a pit $ 13 \,m $ away from the starting point?
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 lm long and requires Is. Determine how long the drunkard takes to fall in a pit $ 13 \,m $ away from the starting point?
Updated On: Jun 14, 2022
- $ 37\,s $
- $ 13\,s $
- $ 49\,s $
- $ 18\,s $
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The Correct Option is A
Solution and Explanation
According to the question, the drunkard moves $5m$ forward, and $3 \,m$ in backward direction and takes $8 \,s$ in the movement. In,such a way, the total distantance covered by drunkard
$8 + 8 + 8 + 8 + 5= 37 \,s$.
$8 + 8 + 8 + 8 + 5= 37 \,s$.
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Concepts Used:
Motion in a straight line
The motion in a straight line is an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion.
Types of Linear Motion:
Linear motion is also known as the Rectilinear Motion which are of two types:
- Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
- Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.