It is a velocity-time graph in which time is plotted along the horizontal axis and the velocity of an object in a selected direction is plotted along the vertical axis.
Displacement is the area under the v-t graph.
An x-t graph shows displacement over time, and a v-t graph shows velocity over time. The combination of the two graphs can give you great detail about the motion of an object over a given period of time. For example, if an object moved 2 cm over 2 seconds on the x-t graph, that says nothing about what direction the object moved in, but if you combine that data with the v-t graph and see that over those 2 seconds the object had a positive acceleration, that means that the object was moving away from the origin of the graph.
The distance travelled over the time period represented by the area under the v-t graph between the end points.
If an x-t graph is a position-time graph, velocity is the slope of the line on the graph.
v = a t a = v / t Bonus: t = v / a
The slope of graph of V->t gives the acceleration
The uses of the V-T graph include finding acceleration and describing motion. If you know what you're doing, you can also use a V-T graph to find the distance covered during some period of time.
On a V-t graph, constant speed is shown as a horizontal line.
Displacement is the area under the v-t graph.
The position at time t (and therefore the height of the p-t graph) will be the area under the v-t curve between time 0 and t.
distance
Plot v-t line (curve) and the area under it equals the distance according to simple rule d=v*t
An x-t graph shows displacement over time, and a v-t graph shows velocity over time. The combination of the two graphs can give you great detail about the motion of an object over a given period of time. For example, if an object moved 2 cm over 2 seconds on the x-t graph, that says nothing about what direction the object moved in, but if you combine that data with the v-t graph and see that over those 2 seconds the object had a positive acceleration, that means that the object was moving away from the origin of the graph.
Acceleration.
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
acceleration is the slope of the v t graph... so the acceleration is constant and negative. In other words, the object is slowing down at a constant rate.
A Compound Graph is an extension of a standard graph. Let G be a graph, G=(V,E) where V is a set of vertices and E is a set of edges, that is e = (v1, v2) in V2 A compound graph C is defined by a tree T=(V,F) where V is the same set as G and F are tree edges f=(v1,v2) in V2. C=(G,T) where G=(V,E) and T=(V,F) Furthermore, C has two additional constraints: e=(v1,v2) in E implies: 1) v1 is not on the path of v2 to the root of T AND 2) v2 is not on the path of v1 to the root of T. Intuitively, T defines a hierarchy. All the vertices sharing the same parent in T are in the same "group". The constraints state that you cannot have an edge connecting a vertex to one of its parent in the hierarchy.