The slope of a distance time graph is a measure of the rate of change in the distance of the object from a fixed reference point along the radial direction. If there were no acceleration in that direction then the radial velocity would be the same so that the graph would be a straight line. However, a curve indicates not only the the distance is changing with time, but that the rate of change is also changing. That is, the radial velocity is changing and that is indicative of radial acceleration.
The word "radial" appear many times in the above paragraph. This is to emphasise that distance time graphs look only at the motion of an object in the direction towards or away from the reference point. Any motion is a transverse direction is ignored. Thus, a line with a constant gradient (slope) does not indicate that there is no acceleration but that any acceleration is in the direction at right angles to the reference direction.
The slope of a tangent to the curve of a velocity-time graph represents the acceleration of an object at that specific instant in time. A steeper slope indicates a greater acceleration, while a flatter slope indicates a smaller acceleration.
A velocity vs. time graph shows how the velocity of an object changes with respect to time. The slope of the graph represents the object's acceleration, while the area under the curve represents the distance traveled by the object. Flat sections of the graph indicate constant velocity, while curved sections show changes in acceleration.
The slope of the tangent to the curve on a velocity-time graph represents the acceleration of an object. Positive slope indicates acceleration in the positive direction, negative slope indicates acceleration in the negative direction, and zero slope indicates constant velocity.
The acceleration vs. time graph would show how an object's acceleration changes over time. A horizontal line at zero acceleration would indicate constant velocity. A straight line with a positive or negative slope would represent constant acceleration. A curved line would indicate changing acceleration.
Acceleration on a speed-time graph is represented by the slope of the line. A steeper slope indicates a greater acceleration. If the slope is positive, it indicates acceleration; if it is negative, it indicates deceleration.
an increasing distance is traveled during each unit of time
The graph of velocity-time is the acceleration.
It is not, if it is a graph of force against acceleration.
Calculate the gradient of the curve which will give the acceleration. Change the sign of the answer to convert acceleration into retardation.
That the force that causes the acceleration is not constant.
Acceleration can be determined from a velocity-time graph by calculating the slope of the line on the graph. The steeper the slope, the greater the acceleration. If the graph is curved, acceleration can be calculated by finding the tangent to the curve at a specific point.
The slope of a tangent to the curve of a velocity-time graph represents the acceleration of an object at that specific instant in time. A steeper slope indicates a greater acceleration, while a flatter slope indicates a smaller acceleration.
The rate of Change in acceleration.
What does a steep looks like
A velocity vs. time graph shows how the velocity of an object changes with respect to time. The slope of the graph represents the object's acceleration, while the area under the curve represents the distance traveled by the object. Flat sections of the graph indicate constant velocity, while curved sections show changes in acceleration.
it indicates the acceleration of the particle
Meters/seconds squared