The displacement of the particle in terms of its unit vectors is given by .
Explanation:
Given:
The magnitude of displacement of the particle is .
The angle made by the particle with the X-axis is in negative direction.
Concept:
The displacement of a body is defined as the shortest distance between the initial and the final position of the body. The displacement of a body includes the direction along with the magnitude of displacement of the body. Therefore, displacement is termed as the vector quantity.
The displacement of the particle is in the positive X-direction but making an angle of below the X-axis. Therefore, the overall displacement of the particle is in the positive direction of X-axis and negative direction of Y-axis.
The displacement of the particle is represented as:
Here, is the magnitude of displacement of the particle.
Substitute the value of displacement in above expression.
Thus, The displacement of the particle in terms of its unit vectors is given by .
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Answer Details:
Grade: Senior School
Subject: Physics
Chapter: Vectors and Scalars
Keywords:
particle, displacement, magnitude, 54 m, x-axis, direction, negative, y-axis, unit vectors, vector, shortest distance.