what does the slope of a v vs t graph represent

what does the slope of a v vs t graph represent If the object is moving with an acceleration of 4 m s s i e changing its velocity by 4 m s per second then the slope of the line will be 4 m s s If the object is moving with an acceleration of 8 m s s then the slope of the line will be 8 m s s

The displacement is given by finding the area under the line in the velocity vs time graph The acceleration is given by finding the slope of the velocity graph The instantaneous velocity can just be read off of the graph To find the average velocity recall that vavg d t df d0 tf t0 The slope of a velocity graph represents the acceleration of the object So the value of the slope at a particular time represents the acceleration of the object at that instant The slope of a velocity graph will be given by the following formula slope rise run v 2 v 1 t 2 t 1 v t v m s t s r i s e r u n t 1 t 2 v 1 v 2

what does the slope of a v vs t graph represent

what does the slope of a v vs t graph represent
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So acceleration 1 5 m s s The slope of the v vs t graph is the acceleration of the object Shows why the slope of the velocity vs time graph is acceleration Shows easily understood math The slope of the line in a velocity vs time graph is equal to the acceleration and the area under a velocity time graph is equal to displacement Velocity is similar to but different

The slope of the x vs t graph is equal to the value of the v vs t graph at the same time interval In this example during the first hour the slope on the x vs t graph is 100 km hr and this is the value of the v vs t graph during this hour The slope of a position graph represents the velocity of the object So the value of the slope at a particular time represents the velocity of the object at that instant To see why consider the slope of the position vs time graph shown below Wait why is the vertical axis called x y x t x x

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The slope of a horizontal position versus time graph gives you the velocity in the x direction The average slope gives you the average velocity The instantaneous slope give you the instantaneous velocity and if it s a straight line with no curvature these are gonna be the same on any given line Formula For calculating Velocity Time Grap The formula for calculating velocity time graph is a v t which can be rewritten as a v u t We can also write it this way Slope acceleration a Change in velocity v u change in time t2 t1 Thus a v u t2 t1 or a v u t We can also remember that a v t

The graph of position versus time in Figure 2 13 is a curve rather than a straight line The slope of the curve becomes steeper as time progresses showing that the velocity is increasing over time The slope at any point on a position versus time graph is the instantaneous velocity at that point The principle is that the slope of the line on a velocity time graph reveals useful information about the acceleration of the object If the acceleration is zero then the slope is zero i e a horizontal line If the acceleration is positive then the slope is positive i e an upward sloping line

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what does the slope of a v vs t graph represent - The slope of the line in a velocity vs time graph is equal to the acceleration and the area under a velocity time graph is equal to displacement Velocity is similar to but different