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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.
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What equals the displacement on a velocity-time graph?
Displacement is the area under the v-t graph.
What is the relationship between a v-t graph and a x-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 area under a velocity-time graph represents?
The distance travelled over the time period represented by the area under the v-t graph between the end points.
How do you calculate velocity from an x-t graph?
If an x-t graph is a position-time graph, velocity is the slope of the line on the graph.
What is v equals at solving for a?
v = a t a = v / t Bonus: t = v / a
What are the uses of V-T graph?
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.
What is the name of the line that would show constant speed on a V-T graph?
A horizontal line on a velocity-time (V-T) graph would show constant speed. This is because the slope of a V-T graph represents acceleration, and a horizontal line means zero acceleration, indicating constant speed.
What equals the displacement on a velocity-time graph?
Displacement is the area under the v-t graph.
How to convert a velocity time graph into a position time 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.
What does the area under a v-t graph give?
distance
Explain x-t v-t graphs?
An x-t (position-time) graph shows how an object's position changes over time, while a v-t (velocity-time) graph shows how an object's velocity changes over time. In an x-t graph, the slope represents the object's velocity at that point, while in a v-t graph, the area under the curve represents the object's displacement.
What is the relationship between a v-t graph and a x-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.
How would one determine Acceleration from a V-t Graph?
Acceleration can be determined from a velocity-time graph by calculating the slope of the line on the graph. The steeper the slope, the greater the acceleration. If the graph is curved, acceleration can be calculated by finding the tangent to the curve at a specific point.
When the slope of v t graph is negative and constant what is the nature of acceleration?
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.
What is a compound graph?
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.
How can a distance be calculated from the v-t graph?
To calculate the distance from a velocity-time graph, you can find the area under the graph. If the graph forms a triangle, you can use the formula for finding the area of a triangle (0.5 * base * height). If the graph forms other shapes, you can break down the area into smaller, more manageable shapes and calculate each separately before summing them up.
What does constant speed appear as on a V-t graph?
On a graph of velocity and time, a constant speed would appear as a straight horizontal line.
