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Question

Question: Find the radius of curvature of a projectile at the highest point, fired with a velocity v, making a...

Find the radius of curvature of a projectile at the highest point, fired with a velocity v, making an angle θ with the horizontal.

A

v2sin2θ/g

B

v2sin2θ/2g

C

v2cos2θ/2g

D

v2cos2θ/g

Answer

v2cos2θ/g

Explanation

Solution

R = (vcosθ)2g(=v2a).\frac{\left( v\cos\theta \right)^{2}}{g}\left( = \frac{v^{2}}{a} \right).