Graph descriptions of velocity, acceleration, speed and time

[asz304]

I can't understand the choices or the questions properly. And I want to know which of the following is right. I would appreciate it if you gave a hint or explanation. Thanks


1)For an object moving with constant positive acceleration, the displacement over a period of time could be found by taking:
a) integral of the velocity vs time graph.
b)integral of the acceleration vs time graph.
c)derivative of the velocity vs time graph.
d)derivative of the acceleration vs time graph.

2)For an object moving with constant positive velocity, the displacement vs time graph is:
a)parabolic with an intercept of zero.
b) linear with slope which is equal to the acceleration.
c)linear with slope which is equal to the velocity.
d)horizontal.


Sorry that I didn't add the template. But my question is just about understanding the graphs.

 

[rock.freak667]

1)For an object moving with constant positive acceleration, the displacement over a period of time could be found by taking:
a) integral of the velocity vs time graph.
b)integral of the acceleration vs time graph.
c)derivative of the velocity vs time graph.
d)derivative of the acceleration vs time graph.

For this one, if you took the derivative of a displacement-time graph, the derivative would give s/t, which is a velocity.

If you took the integral of graph, you get the area under it, the units will be the product of the axes' units.

2)For an object moving with constant positive velocity, the displacement vs time graph is:
a)parabolic with an intercept of zero.
b) linear with slope which is equal to the acceleration.
c)linear with slope which is equal to the velocity.
d)horizontal.

Well if the velocity is constant and you know that v=ds/dt then ds/dt = constant. So if you integrate that what do you get?