How to get velocity and position from an acceleration-time graph?

AI Thread Summary
To find velocity and position from an acceleration-time graph, start with the initial conditions: initial position of 10 m and initial velocity of 9 m/s. Use the equations v = v_o + at and x = v_ot + (1/2)at^2 to calculate the values at 7 seconds. The user initially calculated a velocity of -12 m/s and a position of -0.5 m, but these results were incorrect according to the online worksheet. It's important to apply the equations correctly, considering the area under the acceleration-time graph to find velocity and position accurately. Proper application of these equations will yield the correct results.
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Consider the plot below describing the acceleration of a particle along a straight line with an initial position of 10 m and an initial velocity of 9 m/s.

http://img93.imageshack.us/img93/5492/grapho.jpg

1. What is the velocity at 7 s?
2. What is the position at 7 s?
 
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Please help me! I got the answer -12 for #1 and -0.5 for #2, but the computer's telling me these are wrong (it's an online worksheet). I don't understand why?
 
Well you can use the two default equations.
v=v_o +at
x=v_ot+\frac{1}{2}at^2
You'll have to use each equation twice for each problem though.
 

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