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A ship is sailing due east at 14 km/h. One hour later, it turns and is now sailing due south at 48 km/h. What is the magnitude of its average acceleration over this period of time?

Answer :

Final answer:

The magnitude of the ship's average acceleration over this period of time is 34 km/h.

Explanation:

The magnitude of the ship's average acceleration can be determined by calculating the change in velocity over time. In this case, the ship initially traveled east at 14 km/h for one hour, resulting in a change in velocity of 14 km/h east. It then turned and traveled south at 48 km/h, resulting in a change in velocity of 48 km/h south. To calculate the average acceleration, we divide the change in velocity by the time taken: (48 km/h south - 14 km/h east) / 1 hour = 34 km/h south-east. Therefore, the magnitude of the ship's average acceleration over this period of time is 34 km/h.

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