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The distance from the origin at time t, in the direction of motion, is the area under the graph between time 0 and time t.
In a simple speed-time graph the area may be calculated using simple formulae for the areas of triangles, rectangles, trapeziums. In more complicated cases you will need to integrate for the area under the speed-time curve. And in seriously complex cases, you will have to use numerical estimation for the area.
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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
How is a distance time graph be used?
To find the average speed or rate of something.(:
What does the slope of the distance time graph represent?
The slope of a distance-time graph represents speed.
How can you get speed of an object from its distance-time graph?
The speed is the slope of the curve in such a graph.
How can speed be determined from a graph of distance vs time?
Slope of the graph will give you speed.
How can you get the speed of an object from its distance-time graph?
You can find the speed of an object from its distance-time graph by calculating the slope of the graph at a specific point. The slope represents the object's velocity at that particular moment. By determining the slope, you can find the speed of the object at that point on the graph.
How can you get speed and distance covered by a body from distance time graph?
To get speed from a distance-time graph, you would calculate the slope of the graph at a given point, as the gradient represents speed. To calculate total distance covered, you would find the total area under the graph, as this represents the total distance traveled over 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.
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
How is a distance time graph be used?
To find the average speed or rate of something.(:
A distance-time graph for a body starting from rest how will you determine the speed of a body from this graph?
To determine the speed of a body from a distance-time graph when the body starts from rest, you can find the slope of the graph. The slope of a distance-time graph represents the speed of the body. A steeper slope indicates a higher speed, while a shallower slope indicates a lower speed.
What happens to a graph of time and distance as speed increases?
The graph of distance vs time increases exponentially as speed increases.
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.
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 does the slope of the distance time graph represent?
The slope of a distance-time graph represents speed.
How can you get speed of an object from its distance-time graph?
The speed is the slope of the curve in such a graph.
What does a distance time graph allow you to find?
A distance-time graph allows you to find information such as the speed of an object (slope of the graph), the distance traveled by the object over a specific time period, and whether the object is moving at a constant speed or accelerating. It provides a visual representation of how the position of an object changes over time.
