How to make a graph

How to Make a Graph ,[object Object],[object Object],[object Object],[object Object],26 5 23 4 20 3 15 2 10 1 Speed/ms -1 Time/s

How to Make a Graph ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

How to Make a Graph ,[object Object],Range of graph is sufficient for min and max values for both x and y data. Range of graph is insufficient for max value of y data.

How to Make a Graph Speed (ms -1 ) versus Time (s) Time/s Numbers are evenly and logically spaced Speed/ms -1

How to Make a Graph ,[object Object],[object Object],[object Object],Speed/ms -1 Time/s Speed/ms -1 Time/s Just nice Too big??

How to Make a Graph ,[object Object],[object Object],[object Object],[object Object],[object Object]

How to Make a Graph ,[object Object],Speed/ms -1 Time/s Speed/ms -1 Time/s For our example, a smooth curved line joins all the points Another example: using a best ‘fitting’ straight line to join as many points as possible.

How to Make a Graph ,[object Object],How to find the gradient? A. Using gradient formula 1. For a straight line graph, pick two points on the line, as far as possible. These two points are described as ( x 1 , y 1 ) and ( x 2 , y 2 ). 2. The two set of points picked are (1,4) and (7,26) 3. Substitute the points in the gradient formula. (7,26) (1,4) Sloping upwards from left to right: +ve gradient Speed/ms -1 Time/s

How to Make a Graph ,[object Object],How to find the gradient? B. Drawing triangles + rise/run 1. Draw the largest right-angle triangle with ‘readable’ whole number values. 2. Determine the rise (change in y-direction) and the run (change in x-direction) 3. Substitute the values in the gradient formula. Speed/ms -1 Time/s Rise = 22 Run = 6 +ve run +ve rise

How to Make a Graph ,[object Object],What are the units of the slope? In this case, y’s have units of ms -1 , while x’s have units of seconds. Therefore the units of the slope are ms -2 . *Note: gradient of speed-time graph is acceleration. Speed/ms -1 Time/s

How to Make a Graph ,[object Object],What about gradients of non-linear graphs? Observations: - For non-linear graphs (curved line), gradient is non-uniform (different at different points). - Gradient is +ve (sloping up from L to R). Speed/ms -1 Time/s How to find the gradient? 1. Draw a tangent at the point where you want to determine the gradient. 2. Form a right angle triangle with the tangent as the hypotenuse of the triangle. 3. Determine the rise and run . 4. Substitute into gradient formula. Tangent

How to Make a Graph ,[object Object],Reading values from the graph (apart from values obtained experimentally) By plotting a few experimental values to obtain the graph, we can in fact obtain tens of thousands of values from the graph. Speed/ms -1 Experimental values Values obtained from graph

How to Make a Graph ,[object Object],Obtaining other information from the graph e.g. area under the line For certain graphs, area under the line carries certain meaning/significance. In this example, area under the line is a triangle. Speed/ms -1 Time/s *Note: Area under speed-time graph = distance travelled Credits: http://astro.uchicago.edu/cara/outreach/resources/other/howtograph.html

How to make a graph

Empfohlen

Empfohlen

Weitere ähnliche Inhalte

Was ist angesagt?

Was ist angesagt? (19)

Ähnlich wie How to make a graph

Ähnlich wie How to make a graph (20)

Mehr von drsayers

Mehr von drsayers (6)

Kürzlich hochgeladen

Kürzlich hochgeladen (20)

How to make a graph