The area under the speed/time graph between two points in time
is the distance covered during that time.
You can't, since the slope of the graph means average velocity and the area of the graph has no meaning. The only way to find instantaneous velocity from position-time gragh is by plugging the data into the kinematic equations to get the answer. Edit: Actually you can if you take the derivative of the equation of the curve it will give you the equation of the velocity curve
No, it is instantaneous acceleration.
It is the instantaneous velocity, if it were a graph with velocity over time, then it would be acceloration
The slope of a line on a velocity-time graph is acceleration.
well, the area under the curve between a time interval is equal to the distance traveled on that specific time interval. So one quantity is distance. As for another quantity, the answer would be velocity, but I think they may want a less obvious answer. A quantity out side of velocity could be instantaneous acceleration. This is given by the slope of the the tangent line to the velocity-time graph. Hope this helps you answer your question. Though I think the most simple way to understanding why is to take a course of calculus.
The graph of velocity-time is the acceleration.
You can't, since the slope of the graph means average velocity and the area of the graph has no meaning. The only way to find instantaneous velocity from position-time gragh is by plugging the data into the kinematic equations to get the answer. Edit: Actually you can if you take the derivative of the equation of the curve it will give you the equation of the velocity curve
velocity.
straight line curve
The rate of Change in acceleration.
No, it is instantaneous acceleration.
The rate of change in accelleration.
It could be a velocity graph or an acceleration graph. If the plot is a straight line it is constant velocity. If the plot is a curve it is acceleration.
The slope of the speed/time graph is the magnitude of acceleration. (It's very difficult to draw a graph of velocity, unless the direction is constant.)
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.
The slope of the curve at each point on thegraph is the speed at that point in time. (Not velocity.)
The slope of a line on a velocity-time graph is acceleration.