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.
an increasing distance is traveled during each unit of time
You can look at it the other way... if you have constant acceleration, that will be graphed as a straight line.
The rate at which acceleration is changing.
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
it measures the magnitude of acceleration, but it can't tell you the direction of the acceleration.
deceleration can be measured from a velocity time graph by calculating the gradient of the velocity time graph if the V-t graph was linear. If the v-t graph was a curve then the differentiatial of the equation of the curve will give the deceleration variation with time.
An acceleration curve. Without knowing more details it's impossible to answer more precisely than that.
an increasing distance is traveled during each unit of time
The rate at which acceleration is changing.
The graph of velocity-time is the acceleration.
That the force that causes the acceleration is not constant.
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.
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.
Magnitude of acceleration (but conveys no informationregarding acceleration's direction).
What does a steep looks like
it indicates the acceleration of the particle
Meters/seconds squared