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When do two different distance-time graphs have matching velocity-time graphs?

Two different distance-time graphs have matching velocity-time graphs when the slope of the distance-time graph represents the velocity in the velocity-time graph, as velocity is the derivative of distance with respect to time. This means that the steeper the distance-time graph, the greater the velocity on the velocity-time graph at that point.


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 go from a position graph to a velocity graph?

you can't....it's merely impossible! Assuming it is a graph of velocity vs time, it's not impossible, it's simple. Average velocity is total distance divided by total time. The total time is the difference between finish and start times, and the distance is the area under the graph between the graph and the time axis.


What is the difference between a velocity time graph and a position time graph?

Simply put, a velocity time graph is velocity (m/s) in the Y coordinate and time (s) in the X and a position time graph is distance (m) in the Y coordinate and time (s) in the X if you where to find the slope of a tangent on a distance time graph, it would give you the velocity whereas the slope on a velocity time graph would give you the acceleration.


Why is the distance time graph a straight line for?

A straight line on a distance - time graph represents a "constant velocity".


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


The slope of a line on a distance time graph?

Velocity.


What does the area of a velocity time graph gives?

Distance.


Calculate distance from a velocity time graph?

To calculate distance from a velocity-time graph, you would find the area under the curve, as this represents the displacement or distance traveled. If the graph is above the time axis, calculate the area above the time axis, and if it dips below, calculate the area below the time axis. Summing these two areas will give you the total distance traveled.


Can a position time graph be created from a velocity time graph?

Yes, a position-time graph can be created from a velocity-time graph by integrating the velocity values over time. By finding the area under the velocity-time curve, you can determine how the position of an object changes over time.


What is the quantity which is measured by the area occupied below the velocity - time graph?

Distance travelled (displacement). Distance = velocity/time, so velocity * time = distance. Likewise, x = dv/dt so the integral of velocity with respect to time (area under the graph) is x, the distance travelled.


What is the slope of a distance-time graph?

speed (magnitude of velocity)