What can you say about the motion of a body if:
a. its displacement-time graph is a straight line inclined with the time axis
b. its velocity-time graph is a straight line inclined with the same axis.
c. its velocity- time graph is a parabola
A)the velocity is constant and it is equal to the slope
B)the acceleration is constant and equal to the slope of the line
I don't know the answer to C.
is the answer to C:the acceleration is time dependent and is still equal to the slope of the line.
To understand the motion of a body, it is important to analyze different graphs that represent its motion.
a. If the displacement-time graph is a straight line inclined with the time axis, it indicates that the body is moving with a constant velocity. The slope of the line represents the velocity of the body. The steeper the slope, the greater the velocity; conversely, a flatter slope indicates a lower velocity.
b. If the velocity-time graph is a straight line inclined with the time axis, it signifies that the body is experiencing a constant acceleration. The slope of the line represents the acceleration of the body. Again, the steeper the slope, the greater the acceleration; a flatter slope indicates a lower acceleration.
c. If the velocity-time graph is a parabola, it suggests that the body is experiencing varying acceleration. The slope of the graph at any given point represents the instantaneous acceleration of the body at that time. As the acceleration changes, the slope of the graph also changes. Therefore, the velocity-time graph being a parabola usually indicates an object under the influence of a constant force, such as gravity.
In summary, the slope of the displacement-time graph represents the velocity, the slope of the velocity-time graph indicates the acceleration, and the shape of the velocity-time graph provides insights into the varying acceleration experienced by the body.