If a projectile is fired with an initial velocity v at an angle of inclination θ from the horizontal, then its trajectory, neglecting air resistance, is the parabola
(a) Suppose the projectile is fired from the base of a plane that is inclined at an angle α, α > 0, from the horizontal, as shown in the figure. Show that the range of the projectile, measured up the slope, is given by
(b) Determine θ so that R is a maximum,
(c) Suppose the plane is at an angle α below the horizontal. Determine the range R in this case, and determine the angle at which the projectile should be fired to maximize R.
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Single Variable Calculus: Early Transcendentals, Volume I
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage