Why Does the Minimum Radius of Curvature Occur at the Apex in Parabolic Motion?

F.Turner
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Homework Statement


A projectile in uniform gravitational field g=-g*j\hat{} with initial location x(t=0)=_{}xo, y(0)=_{}yo show explicitly that the minimum value of radius of curvature \partial of the resulting parabolic trajectory occurs at the apex and equal to (^{}vox)^2/g

Homework Equations


Dynamic vector kinematics equations



The Attempt at a Solution


I have set up two equations that i believe I will need but still I'm stuck i am not to sure if the route I'm taking is correct. Would like to know what should be the initial setup for this problem.
 
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Start by writing an equation y(x) giving the parabolic trajectory.
 
Okay, I think I'm heading in the right direction now, I am trying to evaluate the radius of curvature as a function of position from there i will attempt to...not sure yet
 

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