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The area under the velocity time graph of an object is equal to the distance travelled by that object in that time. This is because displacement is the integral of velocity with respect to time so integrating velocity from time A to time B will give the displacement from time A to time B. ( Integrating is the same as calculating the area under the graph)
What else can I help you with?
How to find the area under a graph?
To find the area under a graph, you can use calculus by integrating the function that represents the graph. This involves finding the definite integral of the function over the desired interval. The result of the integration will give you the area under the graph.
Velocity is the slope of the displacement vs time graph?
Velocity is NOT the slope of the acceleration vs. time graph. Velocity is the area under the acceleration vs. time graph. Velocity is the slope of a position vs. time graph, though. For you Calculus Junkies, v = the integral of acceleration with respect to time.
What is a distance vs time squared graph?
To calculate the gradient of the line on a graph, you need to divide the changein the vertical axis by the change in the horizontal axis.
What does the slope of the distance time graph give?
The slope of a distance-time graph gives the speed of an object. A steeper slope indicates a higher speed, while a flatter slope indicates a lower speed.
How do you find the average speed from a velocity time graph?
To find the average speed from a velocity-time graph, calculate the total distance traveled and divide it by the total time taken. This will give you the average speed. Alternatively, you can find the slope of the secant line that connects the initial and final points on the graph to determine the average speed.
What does the area under a v-t graph give?
distance
How to find the area under a graph?
To find the area under a graph, you can use calculus by integrating the function that represents the graph. This involves finding the definite integral of the function over the desired interval. The result of the integration will give you the area under the graph.
Name the two physical quantities which can be obtained from the velocity-time graph?
well, the area under the curve between a time interval is equal to the distance traveled on that specific time interval. So one quantity is distance. As for another quantity, the answer would be velocity, but I think they may want a less obvious answer. A quantity out side of velocity could be instantaneous acceleration. This is given by the slope of the the tangent line to the velocity-time graph. Hope this helps you answer your question. Though I think the most simple way to understanding why is to take a course of calculus.
What information does this graph give you?
If I can't see the graph then how will I know the answer?
What is the scale for the line graph?
The scale can be anything that you choose - but you must give it with the graph.
What does a graph give you a picture of?
A trend
How can speed be determined from a graph of distance vs time?
Slope of the graph will give you speed.
How are line graph and bar graph similar?
They both give you info on a specific thing or object
What are histograms?
Answerto give examplesa type of graph
What are the disadvantages of a double bar graph?
They have two bars on a single graph.
What information does the slope on a distance time graph give?
Speed
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.
