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if it was necessary to calculate the effect of the wind on projectile motion, the velocity of the wind would have to be calculated to determine the effect on the and vertical parts of the projectiles motion.
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Projectile motion is analyzed by splitting it into horizontal and vertical components. Wind acts horizontally, so we need to break wind velocity into its horizontal (and any relevant vertical, though wind typically affects horizontal more) components to find its impact on the projectile's motion. The first blank refers to the component of wind velocity, and the second blank is the horizontal motion component that wind directly influences, pairing with the given vertical part.
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First blank: components
Second blank: horizontal