The X-component of acceleration of the body is the rate of change of velocity of the body in the direction of X-axis.
Further Explanation:
Consider a body is moving with a uniform acceleration in .
Here, represents the X-axis and represents the Y-axis of the plane.
The rate of change of position of the body on x-y plane can be specified by the rate of change of position in the direction of x-axis and y-axis.
Here, is the position vector of the body, is the distance measure from origin in X-direction and is the distance measure from origin in Y-direction.
Similarly, the rate of change of velocity of the body can be specified by rate of change of velocity in direction of X-axis and Y-axis.
…… (1)
Here, is the rate of change of velocity of body, is the rate of change of velocity in direction of X-axis and is the rate of change of velocity in direction of Y-axis.
From the definition of acceleration,
The rate of change of velocity is acceleration and rate of change of velocity in X-direction is the acceleration in X-direction and rate of change of velocity in Y-direction is the acceleration in Y-direction.
So, equation (1) can be written as,
Here, represents the actual or resultant acceleration of the body, is the acceleration of the body in X-direction or rate of change of velocity in X-direction, is the acceleration of the body in Y-direction or rate of change of velocity in Y-direction.
Learn More:
1. Motion of a ball under the acceleration due to gravity brainly.com/question/10934170
2. A 30kg box being pulled on a carpeted floor brainly.com/question/7031524
3. A 50-kg meteorite moving at 1000 m/s strikes Earth brainly.com/question/6536722
Answer Detail:
Grade: Senior school
Chapter: Kinematics
Subject: Physics
Keywords:
x-component of acceleration, ax, component, acceleration, velocity, rate of change, time, X-axis, X-direction.