Answer #1:
The y intercept should be zero because of Newton's second law. Force and
acceleration are directly proportional. The X intercept indicates that there is
some force required to overcome friction if friction is not negligible. This value
is the force required to accelerate the object usually very small.
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Answer #2:
It's even easier than that. The graph had better pass through the origin,
because zero force on an object means it can't be accelerating, and zero
acceleration of an object means there can't be any net force acting on it.
Go back and read Answer #1 above very carefully. It correctly says that the
y-intercept is zero. But doesn't that mean that the graph must go through the
origin, and that the x-intercept is therefore also zero ? I'm just sayin . . .
The area under a force-displacement graph represents the work done on an object. Work is defined as the force applied to an object multiplied by the distance the force is applied over.
The shape of the speed-time graph for an object moving with variable speed would depend on how its speed changes over time. It could be linear if the speed changes at a constant rate (acceleration or deceleration), curved if the acceleration is not constant, or a combination of different shapes if the speed fluctuates.
a line graph
No, not every tree is a bipartite graph. A tree is a bipartite graph if and only if it is a path graph with an even number of nodes.
A Hamiltonian path in a graph is a path that visits every vertex exactly once. It does not need to visit every edge, only every vertex. If a Hamiltonian path exists in a graph, the graph is called a Hamiltonian graph.
No, in general, the force vs acceleration graph does not always pass through the origin. This is because there may be a non-zero force acting on an object even when it is at rest. The presence of a non-zero force at rest would lead to a non-zero intercept on the force vs acceleration graph.
Usually time but it could depend on the specific graph.
18000
The answer will depend on the variables plotted on the graph!
The graph of force vs acceleration typically shows a linear relationship as described by Newton's Second Law, which states that force is directly proportional to acceleration. As acceleration increases, the force required to achieve that acceleration also increases. The slope of the graph represents the mass of the object, with a steeper slope indicating a greater mass.
It is not, if it is a graph of force against acceleration.
The slope of a velocity-time graph represents acceleration.
To create a force-time graph from an acceleration-time graph, you would first integrate the acceleration values to obtain the velocity-time graph, and then integrate the velocity values to get the displacement-time graph. Finally, you can use Newton's second law (F = m*a) to relate the acceleration to the force and derive the force-time graph.
change in velocity
The slope of a velocity-time graph represents acceleration.
Magnitude of acceleration (but conveys no informationregarding acceleration's direction).
Magnitude of acceleration (but conveys no informationregarding acceleration's direction).