A projectile is thrown with a speed 𝑢 at an angle θ to the horizontal. The radius of curvature of its
trajectory when the velocity vector of the projectile makes an angle α with the horizontal is

Question : A projectile is thrown with a speed 𝑢 at an angle θ to the horizontal. The radius of curvature of its trajectory when the velocity vector of the projectile makes an angle α with the horizontal is

(A) \dfrac{u^{2}\cos ^{2}\alpha }{g\cos ^{2}\theta }

(B) 2 \dfrac{u^{2}\cos ^{2}\alpha }{g\cos ^{2}\theta }

(C) \dfrac{u^{2}\cos ^{2}\theta }{g\cos ^{3}\alpha }

(D) \dfrac{u^{2}\cos ^{2}\theta }{g\cos ^{2}\alpha }

Answer : option (C)

Solution :

A projectile is thrown with a speed 𝑢 at an angle θ to the horizontal. The radius of curvature of its
trajectory when the velocity vector of the projectile makes an angle α with the horizontal is
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