A projectile is fired with an initial velocity of v at an angle of O from the ground. Then its trajectory can modeled by

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A projectile is fired with an initial velocity of v at an angle of O from the ground. Then its trajectory can modeled by

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A Projectile Is Fired With An Initial Velocity Of V At An Angle Of O From The Ground Then Its Trajectory Can Modeled By 1
A Projectile Is Fired With An Initial Velocity Of V At An Angle Of O From The Ground Then Its Trajectory Can Modeled By 1 (107.28 KiB) Viewed 26 times
A projectile is fired with an initial velocity of v at an angle of O from the ground. Then its trajectory can modeled by the parametric equations x = vt cos 0, 1 y = ut sin 0 , 2.972 where t denotes time and g denotes acceleration due to gravity, forming a parabolic arch. Suppose v is held constant, but 0 is allowed to vary, over 0° <0 < 180°. The highest point of each parabolic arch is plotted. (Several examples are shown below.) As o varies, the highest points of the arches trace a closed curve. The area of this closed curve can be expressed in the form C. g2 Find c.
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