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I'm pretty well a newbie to physics and need a little help. It has to do with velocity time graphs. Here is the question I am having trouble with...

Time (s) Velocity (m/s)

0.0 0.0

1.0 5.0

2.0 4.0

3.0 10.0

4.0 15.0

5.0 18.0

6.0 20.0

7.0 22.0

8.0 25.0

a) Plot a velocity time graph

<-- this was simple. I had no problems with this component. Time on the x-axis and velocity on the y-axis. Plot the ordered pairs. Draw straight lines connecting the points.

b) Determine the distance the car travels during the first 2.0 s

<-- Here's where I had problems. In the book I am using ... (Merril Physics: Principles and Problems)... its examples only include graphs which are linear and none which produce scattered plots. (or at least from what reading was assigned for this worksheet)If anyone would be so kind to explain to me how to do this type of question with non-linear graphs I'd be grateful. I've been somewhat frustrated with it of late. I know I have to find the area of the space under the curve within the specific time interval but from this graph, 0-2s creates a shape which is not a triangle or rectangle... or any shape which i know has a formula for area.

Please help. Thanks so much.

- The Guy Who Needs Some Help In Physics

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# Finding Displacement on a Velocity Time Graph

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