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Pat builds a track for his model car out of wood. The track is 17.00 cm wide, 5.

ID: 2245287 • Letter: P

Question

Pat builds a track for his model car out of wood. The track is 17.00 cm wide, 5.00 m long, and 2.78 m high, and is solid. The runway is cut such that it forms a parabola by the equation y = (x - 5)2 / 9. Locate the horizontal coordinate of the center of gravity of this track.



So I tried this question but, I'm ending up with a wrong answer.

Pat builds a track for his model car out of wood. The track is 17.00 cm wide, 5.00 m long, and 2.78 m high, and is solid. The runway is cut such that it forms a parabola by the equation y = (x - 5)2 / 9. Locate the horizontal coordinate of the center of gravity of this track.

Explanation / Answer

integrate   y dx/ X= integral(x-5)^2/9 dx/ 5

integral (x-5)^2/45 from 0 to 5

answer is x=0.926