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Projectile Motion Formula
The projectile motion formula gives the height, in feet, of an object launched straight upward from ground level with an initial velocity of feet per second. After seconds, the height is:
The term accounts for the downward pull of gravity (the coefficient comes from half the acceleration due to gravity in feet per second squared), and the term represents the upward distance the object would travel at constant speed if gravity were absent. Initially the upward velocity dominates, causing the object to rise, but gravity steadily decelerates it. Eventually the object reaches a peak height and then falls back down. Setting equal to a specific height and solving the resulting quadratic equation determines the time(s) at which the object is at that height.
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Ch.10 Quadratic Equations - Elementary Algebra @ OpenStax
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Projectile Motion Formula
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Learn After
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