Answer :
Final answer:
The average acceleration of the powerboat is 2.7744 m/s^2.
Explanation:
The average acceleration of the powerboat can be determined using the formula:
average acceleration = (final velocity - initial velocity) / time
Given that the initial velocity is 0 km/h, the final velocity is 99.8 km/h, and the time is 10.0 s, we can substitute these values into the formula:
average acceleration = (99.8 km/h - 0 km/h) / 10.0 s = 9.98 km/h/s
To convert the average acceleration from kilometers per hour per second to meters per second squared, we need to multiply it by a conversion factor:
1 km/h = 0.2778 m/s
Therefore, the average acceleration of the powerboat is:
average acceleration = 9.98 km/h/s * 0.2778 m/s = 2.7744 m/s^2
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