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14 August, 04:39

A descent vehicle landing on the moon has a vertical velocity toward the surface of the moon of 29.6 m/s. At the same time, it has a horizontal velocity of 54.8 m/s. At what speed does the vehicle move along its descent path?

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  1. 14 August, 06:45
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    If the vertical component is 29.6 m/s down, and the horizontal component

    is 54.8 m/s parallel to the surface, then the magnitude of the slanty vector is

    √ (29.6² + 54.8²) = √ (876.16 + 3003.04) = √3879.2 = 62.28 m/s.

    That's 139 mph! Wow!
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