If a projectile is ired with an initial velocity v at an

Chapter , Problem 80

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If a projectile is ired with an initial velocity v at an angle of inclination from the horizontal, then its trajectory, neglecting air resistance, is the parabola y stan dx 2 t 2v 2 cos2 x 2 0 , , 2 (a) Suppose the projectile is ired from the base of a plane that is inclined at an angle , . 0, from the horizontal, as shown in the igure. Show that the range of the projectile, measured up the slope, is given by Rsd 2v 2 cos sins 2 d t cos2 (b) Determine so that R is a maximum. (c) Suppose the plane is at an angle below the horizontal. Determine the range R in this case, and determine the angle at which the projectile should be ired to maximize R. x y