Question:
A particle has a displacement of $12\,m$ towards east and $5\,m$ towards north and finally $6\,m$ vertically upwards. The sum of these displacement is
A particle has a displacement of $12\,m$ towards east and $5\,m$ towards north and finally $6\,m$ vertically upwards. The sum of these displacement is
Updated On: Jul 5, 2022
- 12 m
- 10.04 m
- 14.31m
- None of these
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The Correct Option is C
Solution and Explanation
Resultant $R = S_1 + S_2 + S_3$
$|R|=\sqrt{(12)^2+(5)^2+(6)^2}$
$=\sqrt{144 +25 +36 }=\sqrt{205} \Rightarrow R=14.31 cm $
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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.