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25 December, 19:42

A meteorologist tracks the movement of a thunderstorm with Doppler radar. At 8:00pm the storm was 55 mi northeast of her station. At 11:00 pm the storm is at 75 mi north. What's the direction of the average velocity of the storm? And the magnitude of the average velocity of the storm?

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  1. 25 December, 20:00
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    At 8:00 pm, the velocity of the storm is 55 mi northeast. Assuming that the direction is exactly northeast, the angle is 45°

    At 11:00 pm, the velocity is 75 mi north. The angle is 90°

    In vector form

    55 ∠ 45°

    and

    75 ∠ 90°

    The magnitude and direction of the average velocity is

    (55 ∠ 45° + 75 ∠ 90°) / 3
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