Path of a Projectile If a projectile is fired with an initial speed of ty fi/s at an angle a above the horizontal, then its position after i seconds is given by the parametric equations x = (V, cos a)t y = (t, sin a)t – 16r? (where x and y are measured in feet). Show that the path of the projectile is a parabola by eliminating the parameter t.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.4: Plane Curves And Parametric Equations
Problem 37E
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Path of a Projectile If a projectile is fired with an initial
speed of ty fi/s at an angle a above the horizontal, then its
position after i seconds is given by the parametric equations
x = (V, cos a)t
y = (t, sin a)t – 16r?
(where x and y are measured in feet). Show that the path of
the projectile is a parabola by eliminating the parameter t.
Transcribed Image Text:Path of a Projectile If a projectile is fired with an initial speed of ty fi/s at an angle a above the horizontal, then its position after i seconds is given by the parametric equations x = (V, cos a)t y = (t, sin a)t – 16r? (where x and y are measured in feet). Show that the path of the projectile is a parabola by eliminating the parameter t.
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