Projectile MotionWhere trajectories crest For a projectile

Chapter 13, Problem 30E

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Problem        30E

Projectile Motion

Where trajectories crest For a projectile fired from the ground at launch angle with initial speed consider as a variable and as a fixed constant. For each we obtain a parabolic trajectory as shown in the accompanying figure. Show that the points in the plane that give the maximum heights of these parabolic trajectories all lie on the ellipse

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