If a particle is moving with a constant velocity, its x-t graph would be a straight line with a constant slope. The slope of the x-t graph represents the velocity of the particle. Therefore, for a particle moving with a constant velocity, the slope of the x-t graph would be constant and equal to the velocity of the particle.
On the other hand, if a particle is moving with constant acceleration, its x-t graph would be a curve rather than a straight line. The slope of the x-t graph at any given point would represent the instantaneous velocity of the particle at that point in time.
In summary:
- For a particle moving with constant velocity, the slope of the x-t graph is constant and equal to the velocity of the particle.
- For a particle moving with constant acceleration, the slope of the x-t graph varies at different points and represents the instantaneous velocity of the particle.