What would be the acceleration of a body if it's velocity time graph i...
Acceleration of a Body with Velocity Time Graph as a Line Parallel to the Time Axis
When the velocity-time graph of a body is a line parallel to the time axis, it means that the body is moving with a constant velocity. This is because the slope of a velocity-time graph represents acceleration, and a horizontal line has a zero slope, indicating zero acceleration.
Definition of Acceleration
Acceleration is the rate of change of velocity with time. It is a vector quantity and is expressed in units of meters per second squared (m/s²).
Formula for Acceleration
The formula for acceleration is:
acceleration (a) = (final velocity - initial velocity) / time taken
Explanation of the Formula
The formula for acceleration tells us that acceleration is directly proportional to the change in velocity and inversely proportional to the time taken for that change to occur. Therefore, if the velocity of a body is constant, there is no change in velocity, and the acceleration is zero.
Conclusion
When the velocity-time graph of a body is a line parallel to the time axis, the acceleration of the body is zero. This means that the body is moving with a constant velocity, and there is no change in its velocity with respect to time.