A particle is projected from ground aiming the maximum horizontal range. Ratio of maximum to minimum radius of curvature of the projectile path is(1)

Question

A particle is projected from ground aiming the maximum horizontal range. Ratio of maximum to minimum radius of curvature of the projectile path is(1)
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Solution 1

The path of a projectile is a parabola. The radius of curvature at any point of a parabola is given by R = (1 + y'^2)^(3/2) / |y''|, where y' is the first derivative of y with respect to x, and y'' is the second derivative.

For a projectile, the equation of trajectory is y = xtan(θ) - (gx^2) / (2 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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