Answer:
the acceleration at any instant
Explanation:
1). the displacement during some time interval
We can determine the displacement of the object from the graph because we know that displacement is defined as the change in position of the object and from graph change in position can be obtained easily
2). the speed at any instant
3). the velocity at any instant
speed at any instant of time and velocity at any instant of time must be same in the magnitude and we can determine it by the slope of the graph
As we know that instantaneous velocity is defined as
\(v = \frac{dx}{dt}\)
so slope of the graph at any instant will give an idea about instantaneous speed of velocity
4). the average velocity during some time interval
To find average velocity we need the displacement of object at a given interval of time and ratio of this displacement and time interval is known as average velocity
So we can find it from graph
5). the acceleration at any instant
To find the instantaneous acceleration we need to find
\(a = \frac{dv}{dt}\)
this is not possible to find from x-t graph because in order to find this slope we need to find velocity time graph.
