Consider an object launched with some
velocity Vo at an angle q measured above the horizontal. We can
resolve the vector into orthogonal (means mutually perpendicular)
vertically and horizontally.
Because orthogonal vectors add to form a sum but do nothing to increase one another, we can apply our trusty page 1 equations to get some useful relationships.
From page 1, line 1 we know that V =
Vo + at
This equation reduces to two other equations (1) and (2)
From page 1, line 3 we know that
By substituting the horizontal and vertical components of the velocity of projection we get
(3) and (4)
Finally, if we solve equation (4) for t and substitute this fraction for t in equation (3), we get
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