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To determine the time it takes for an object rolling across the floor to travel a given distance, we can use the equation:

time = distance / velocity.

Given that the distance is 3.00 m and the velocity is 5.28 m/s, we can substitute these values into the equation:

time = 3.00 m / 5.28 m/s.

Calculating this expression gives us:

time = 0.56818181818 seconds.

Rounding to an appropriate number of significant figures, the time it will take for the object to travel 3.00 m at a velocity of 5.28 m/s is approximately 0.568 s.

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