Solve Displacement Problem: 24 Rads

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The discussion focuses on solving a displacement problem involving angular velocity and area calculations. The user calculated the line equation using point-slope form, resulting in y = 3x - 9. They determined the angular velocity at 8 seconds to be 15 rad/s and computed the areas of two triangles formed in the graph. The top triangle's area yielded 37.5 rad, while the bottom triangle's area was 13.5 rad. The final displacement was calculated by subtracting the bottom triangle's area from the top triangle's area, confirming a displacement of 24 rad.
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Homework Statement


http://img52.imageshack.us/img52/5412/displacement.jpg


The Attempt at a Solution


First I calculated the equation for the line using point-slope form. I got y = 3x-9. Then I found angula velocity at 8 seconds, which turned out to be 15 rad/s. Then I drew the complete graph and calculated area for the top triangle and the bottom triangle. For the top triangle I got a distance of 37.5 rad and for the bottome triangle I got a distance of 13.5 rad. To calculate displacement, I subtracted the area of the bottome triangle to the area of the top triangle and got 24 rad. Is this correct?
 
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Yes, that's correct.
 

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