an increasing distance is traveled during each unit of time
By the slope of the curve.
On a distance-time graph, acceleration is represented by a curve that shows the slope increasing over time. If the graph is a straight line, it indicates constant speed, while a curved line indicates changing speed. The steeper the curve, the greater the acceleration; if the curve flattens, it suggests a decrease in acceleration. In contrast, if the graph shows a downward curve, it may indicate deceleration.
magnitude of velocity
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 V vs T graph is acceleration at that point in time. the derivative of the function for the V vs T graph would be the function for acceleration at any given time
The rate of Change in acceleration.
An acceleration-time graph displays how an object's acceleration changes over time. It is derived from data collected during motion, often obtained through sensors or calculations based on velocity and displacement. The graph's shape and values indicate periods of increasing or decreasing acceleration, helping to analyze forces acting on the object. The area under the curve in this graph can also provide insights into changes in velocity over time.
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.