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Does the slope of the line on a speed time graph tells the speed?
No. The slope on a speed vs time graph tells the acceleration.
What does straight line on a distance time graph tell you about the speed of an object?
It tells you that the speed of the object is not changing. The speed is represented by the slope in a distance vs. time graph, if slope doesn't change, speed doesn't.
Why use slopes?
The slope of a graph provides general information about a graph. It tells you how much the y value of the graph increases (or decreases, if the slope is negative) for a given increase in x value. if you look at the general equation of a graph y = a x + b the value "a" represents the slope and the "b" value represents the value of y when x = 0. When the graph is not a straight line, the discussion gets more complicated, however the slope still describes changes in the value of the graph (you have to use calculus for this situation.)
What is a slope when dealing with graph?
The slope for a straight line graph is the ratio of the amount by which the graph goes up (the rise) for every unit that it goes to the right (the run). If the graph goes down, the slope is negative. For a curved graph, the gradient at any point is the slope of the tangent to the graph at that point.
How do you determine velocity using a position-time graph?
You can't determine velocity from that graph, because the graph tells you nothing about the direction of the motion. But you can determine the speed. The speed at any moment is the slope of a line that's tangent to the graph at that moment.
