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A graph that shows displacement plotted against time for a particle moving in a straight line. Let x(t) be the displacement of the particle at time t. The distance-time graph is the graph y=x(t), where the t-axis is horizontal and the y-axis is vertical with the positive direction upwards. The gradient at any point is equal to the velocity of the particle at that time. (Here a common convention has been followed, in which the unit vector i in the positive direction along the line has been suppressed. The displacement of the particle is in fact a vector quantity equal to x(t)i, and the velocity of the particle is a vector quantity equal to x(t)i.)
A distance-time graph illustrates the relationship between distance traveled and time taken. It shows how the distance changes over time, with distance usually plotted on the y-axis and time on the x-axis. The slope of the graph represents the speed of the object being tracked.
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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 the slope of a time vs distance graph equal?
The slope of a time vs distance graph represents the speed or velocity of an object. It is calculated as the change in distance divided by the change in time. A steeper slope indicates a greater speed.
In a distance-time graph the slope of is the ratio of time to distance?
The slope of a distance-time graph represents the speed of an object. It is calculated as the ratio of the change in distance to the change in time. A steeper slope indicates a faster speed.
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.
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.
Distance time graph?
distance time graph is a graph traveled in a graph which shows how much we have traveled in equal period of time.
What is a graph with distance on the vertical axis and time on the horizontal axis is called?
distance-time graph
What does the slope of the distance time graph represent?
The slope of a distance-time graph represents speed.
What is plotted on a vertical line distance-time graph?
Typically distance is plotted on the y-axis of a distance-time graph.
How can you calculate the speed in a distance time graph?
speed is the gradient under the distance vs time graph which is change in distance /change in time
Is acceleration the slope of a line on a distance time graph?
No. The slope of the distance-time graph is the change in distance per unit of time - otherwise known as speed. Acceleration is the slope of the speed time graph.
What variable is distance on a distance-time graph?
Distance is usually represented on the y-axis of a distance-time graph. The x-axis typically represents time.
How is a distance- time graph different than a speed time graph?
The variable plotted along the vertical axis is the distance in the first case, speed in the second. The gradient of (the tangent to) the distance-time graph is the speed while the area under the curve of the speed-time graph is the distance.
What does a speed time graph indicate about an object's motion?
A distance time graph would show the distance traveled.
Why is the distance time graph a straight line for?
A straight line on a distance - time graph represents a "constant velocity".
Why area below the distance-time graph is used to calculate speed?
That's not correct. If you have a graph of distance as a function of time, the speed is the slope of the graph.
What is a time distance graph?
A distance vs time squared graph shows shows the relationship between distance and time during an acceleration. An example of an acceleration value would be 3.4 m/s^2. The time is always squared in acceleration therefore the graph can show the rate of which an object is moving
