Solve Displacement Problem: 24 Rads

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SUMMARY

The displacement problem was solved using point-slope form to derive the equation of the line, resulting in y = 3x - 9. The angular velocity was calculated at 8 seconds, yielding a value of 15 rad/s. The area of the top triangle was determined to be 37.5 rad, while the area of the bottom triangle was 13.5 rad. The final displacement was calculated by subtracting the area of the bottom triangle from the top triangle, 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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