Solution: If a projectile is fired with an initial velocity

Chapter , Problem 66

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If a projectile is fired with an initial velocity at an angle of inclination 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 , , from the horizontal, as shown in the figure. Show that the range of the projectile, measured up the slope, is given by (b) Determine so that is a maximum. (c) Suppose the plane is at an angle below the horizontal. Determine the range in this case, and determine the angle at which the projectile should be fired to maxi mize . depth width 10 v y tan x t 2v2 cos2 x 2 0 2 0 R 2v 2 cos sin t cos2 R R R

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