A particle travels along the curve from A to B in 5 s. It takes 8 s for it to go from B to C and then 10 s to go from C to A. Determine its average speed when it goes around the closed path.

5.1 m/s

Explanation:

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In order to find the average speed, we have to calculate the length of the total path, and divide it by the total time elapsed.

The curve from A to B is a quarter of a circle with a radius of r = 20 m, so its length is:

The path BC is the hypothenuse of a right triangle with sides equal to 20 m and 30 m, so its length is

Finally, the length of the path AC is the sum of the side of 30 m and the radius of the curve, so

So the total distance covered is

The total time elapsed is

So, the average speed is

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