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On a distance time graph, velocity is measured as the gradient of the line. This is also the rate of change of the distance (if this question leads to calculus).
So a velocity of zero is shown by a horizontal line (if linear) or by a turning point (in a non-linear graph)
In theory, yes, if an object is static it's velocity is zero. In practice, however, velocity of an object can only truly be determined in relation to at least one other object, so if only two objects are taken into account, there is no way to determine which one is moving and which one is static (or if they are moving in parallel, if both are moving, but at different speeds).
When you start considering larger groups of objects (up to and including the entire universe itself) it would be impossible to find out from within the system whether or not the entire system is moving.
Short version - yes, velocity can be zero, but it's impossible to tell for sure.
Velocity is zero on a distance-time graph at the points where the graph is horizontal (flat) because the distance is not changing. This occurs when the object is at rest or changes direction.
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How do you figure out the starting point of a distance vs time graph when given the velocity vs time graph and a function?
To find the starting point of a distance vs time graph from a velocity vs time graph and a function, you would integrate the velocity function to find the displacement function. The starting point of the distance vs time graph corresponds to the initial displacement obtained from the displaced function.
Will the graph of instantaneous velocity versus time have a Y-axis intercept of zero?
Not necessarily. The graph of instantaneous velocity versus time may or may not have a Y-axis intercept of zero. It depends on the initial conditions and motion of the object. If the object starts from rest, then the initial velocity is zero, and the graph will have a Y-axis intercept at zero.
What does a horizontal line on a velocity time graph show for acceleration?
Any curved line will indicate a change in acceleration. Straight lines with slope indicate a steady velocity and straight lines with zero slope indicate a lack of motion.If the X axis (left to right) is for time and the Y axis (up and down) is for speed, it would curve up.
How Can you tell from a velocity-time graph that the velocity is constant?
velocity is nothing but speed of a body in the given direction. suppose if body is moving with constant velocity then VT graph will be parallel to the X -axis, if not then the VT graph is not parallel to the X-axis it means then object is moving with different velocity or it has its dierection or both velocity and aswell as direction.
Does the horizontal line on the velocity vs time graph indicate a constant and positive acceleration?
No, a horizontal line on a velocity vs. time graph indicates a constant velocity, not acceleration. An acceleration would be represented by a non-zero slope on a velocity vs. time graph.
What does a zero velocity graph look like?
In a velocity-time graph it will be the time axis (where velocity = 0). On a distance-time graph it will be a line parallel to the time axis: distance = some constant (which may be 0).
How do you know there is no motion on a distance time-graph?
distance = velocity x time so on the graph velocity is slope. If slope is zero (horizontal line) there is no motion
What is the condition of the position-time graph when the velocity-time graph passes through zero?
As, in the velocity-time graph, curves passes through zero means 'when time is zero velocity is zero'. Velocity is time derivative of displacement. So displacement is maximum or minimum when time is zero in position-time graph.
What is the slope in the distance time graph when the body is at rest?
The slope of the distance-time graph when the body is at rest is zero. This indicates that there is no change in distance over time, meaning the body is stationary or not moving.
How do you figure out the starting point of a distance vs time graph when given the velocity vs time graph and a function?
To find the starting point of a distance vs time graph from a velocity vs time graph and a function, you would integrate the velocity function to find the displacement function. The starting point of the distance vs time graph corresponds to the initial displacement obtained from the displaced function.
What does a horizontal line on a distance-time graph indicate?
It means there is no velocity - it is at rest and nothing is moving. The slope of the line is velocity - a horizontal line is zero slope = zero velocity
Which physical quantity is calculated by the slope of distance time graph?
The radial velocity ie velocity towards or away from your starting point. It is NOT the ordinary speed or velocity because you can run in a circle around your starting point at top speed but the distance will not change so the slope of the distance time graph will be zero.
Suppose you plot the distance traveled by an object at various times and you discover that the graph is not a straight line what does this indicate about the object acceleration?
If the graph of distance traveled vs. time is not a straight line, it indicates that the object's acceleration is not constant. Acceleration is the rate of change of velocity, so a non-linear distance-time graph suggests that the object's velocity is changing at a non-constant rate, causing a curved graph.
Will the graph of instantaneous velocity versus time have a Y-axis intercept of zero?
Not necessarily. The graph of instantaneous velocity versus time may or may not have a Y-axis intercept of zero. It depends on the initial conditions and motion of the object. If the object starts from rest, then the initial velocity is zero, and the graph will have a Y-axis intercept at zero.
A graph showing zero slope for the velocity vs time always indicates that the object is not moving?
Not necessarily. A zero slope on a velocity vs time graph indicates that the object's velocity is constant, not that it is not moving. If the velocity is zero and remains zero, then the object is not moving.
What does the slope of a line on a distance-versus-time graph show?
It shows the speed of an object in a direction towards or away from the reference point. This is not the speed of the object because any motion in a transverse direction is ignored. For example, even if a racing car is going at top speed around the reference point on a circular track, the distance v time graph will be a horizontal line. The slope will be zero.
What characterizes constant velocity motion on a velocity-time graph?
On a velocity-time graph, constant velocity motion is characterized by a horizontal line where the velocity remains the same over time. The slope of the line is zero, indicating that the acceleration is zero and the object is moving at a steady speed.
