A projectile is launched from the Earth's surface with velocity (v_{0}=50.0 mathrm{~m} / mathrm{s}), at an angle

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A projectile is launched from the Earth's surface with velocity \(v_{0}=50.0 \mathrm{~m} / \mathrm{s}\), at an angle \(\theta=60^{\circ}\) to the vertical. Determine the radius of curvature of the projectile's trajectory at the time immediately following the launch.

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