Question

which of the following set of graphs represents the same motion?

can someone explain this for me please. how do I know which has the same motion?

Answer 1

For distance with time :
it is linear meaning it is making equal distance in equal time interval so the velocity is constant and acc is zero.
so the graph of speed and acc will be like:


For velocity and time graph:
it is increasing its velocity in equal time interval ,so constant acc and quadratic form of distance.
so the graph of its acc and distance will be like:

I think there's no need to draw the last one.